algebra

See also: Algebra, álgebra, àlgebra, algebrā, algebră, alġebra, and algebrą

English

Etymology

Borrowed from Medieval Latin algebra, from the Arabic word الْجَبْر (al-jabr, “reunion, resetting of broken parts”) in the title of al-Khwarizmi's influential work الْكِتَاب الْمُخْتَصَر فِي حِسَاب الْجَبْر وَالْمُقَابَلَة (al-kitāb al-muḵtaṣar fī ḥisāb al-jabr wa-l-muqābala, “The Compendious Book on Calculation by Completion and Balancing”).

Pronunciation

• (UK) IPA^(key): /ˈæl.dʒɪ.bɹə/
• (US) IPA^(key): /ˈæl.d͡ʒɪ.bɹə/, /ˈæl.d͡ʒə.bɹə/

• Audio (US):

  (file)

Noun

algebra (countable and uncountable, plural algebras)

2. (uncountable, mathematics) Elementary algebra: A system for representing and manipulating unknown quantities (variables) in equations.
   • 1551, James A.H. Murray, editor, A New English Dictionary on Historical Principles: Founded Mainly on the Materials Collected by the Philological Society.‎^[1], volume 1, Oxford: Clarendon Press, published 1888, Part 1, page 217:

     Also the rule of false position, with dyuers examples not only vulgar, but some appertaynyng to the rule of Algeber.

   • 1854, George Boole, “Signs and their Laws”, in An Investigation of the Laws of Thought, on which are Founded the Mathematical Theories of Logic and Probabilities‎^[2], London: Walton and Maberly, page 37:

     Let us conceive, then, of an Algebra in which the symbols x, y, z, &c. admit indifferently of the values 0 and 1, and of these values alone.

3. (uncountable, mathematics, sometimes capitalized) Abstract algebra: A broad field of study in modern mathematics (often mentioned alongside analysis) loosely characterized by its concern for abstraction and symmetry, dealing with the behavior, classification, and application of a large class of objects (called algebraic structures) and the maps between them (called, most generally, morphisms).
4. (countable, mathematics, algebra) Any of several objects of study in Algebra
   1. A universal algebra.
   2. An algebraic structure consisting of a module over a commutative ring (or a vector space over a field) along with an additional binary operation that is bilinear over module (or vector) addition and scalar multiplication.

      Synonyms: algebra over a field, algebra over a ring

5. (countable, set theory, mathematical analysis) A collection of subsets of a given set, such that this collection contains the empty set, and the collection is closed under unions and complements (and thereby also under intersections and differences).

   Synonyms: field of sets, algebra of sets

   Hypernym: ring

   Hyponym: σ-algebra

6. (figurative) A system or process (especially one that is complex or convoluted) that substitutes one thing for another, or uses signs or symbols to represent concepts or ideas.
   • 1663, William Clark, edited by William Hugh Logan, Marciano; or, The discovery: A tragi-comedy‎^[3], Edinburgh: Reprinted for Private Circulation, published 1871, →ISBN, page 13:

     Fly ! Fly ! avaunt with that base cowardly gibbrish ; That Algebra of honour ; which had never Been nam'd, if all had equal courage—what?

7. (uncountable, medicine, historical, rare) The surgical treatment of a dislocated or fractured bone. Also (countable): a dislocation or fracture.
   • a1420, The British Museum Additional MS, 12,056, “Wounds complicated by the Dislocation of a Bone”, in Robert von Fleischhacker, editor, Lanfranc's "Science of cirurgie."‎^[4], London: K. Paul, Trench, Trübner & Co, translation of original by Lanfranc of Milan, published 1894, →ISBN, page 63:

     Ne take noon hede to brynge togidere þe parties of þe boon þat is to-broken or dislocate, til viij. daies ben goon in þe wyntir, & v. in þe somer; for þanne it schal make quytture, and be sikir from swellynge; & þanne brynge togidere þe brynkis eiþer þe disiuncture after þe techynge þat schal be seid in þe chapitle of algebra.

   • 1987, John Newsome Crossley, “Latency”, in The emergence of number‎^[5], Singapore: World Scientific, →ISBN, Al-Khwarizwi, page 65:

     Algebra is used today by surgeons to mean bone-setting, i.e. the restoration of bones, and the idea of restoration is present in the mathematical context, too.

Derived terms

• Abelian algebra
• abelian algebra
• abstract algebra
• Albert algebra
• algebraism
• algebraist
• algebraization
• algebraize
• algebralike
• algebra over a field
• algebra over a ring
• algebrician
• algebroid
• alternative algebra
• anti-algebra
• antialgebra
• Artin algebra
• associative algebra
• Azumaya algebra
• bialgebra
• Boolean algebra
• Borel σ-algebra
• central simple algebra
• Clifford algebra
• coalgebra
• cogebra
• combinatorial commutative algebra
• commutative algebra
• composition algebra
• De Morgan algebra
• dialgebra
• division algebra
• elementary algebra
• finite algebra
• free algebra
• free Boolean algebra
• Grassmann algebra
• hard as Chinese algebra
• Hecke algebra
• Heyting algebra
• homological algebra
• Hopf algebra
• Hurwitz algebra
• hyperalgebra
• Iwahori-Hecke algebra
• Jordan algebra
• Kac-Moody algebra
• k-algebra
• Kleene algebra
• Leibniz algebra
• Lie algebra
• linear algebra
• Loday algebra
• Maharam algebra
• matrix algebra
• modern algebra
• multialgebra
• non-associative algebra
• numerical linear algebra
• Ockham algebra
• polynomial algebra
• power-associative algebra
• prealgebra
• pseudoalgebra
• quasibialgebra
• quaternion algebra
• reduced algebra
• semialgebra
• shuffle algebra
• simple algebra
• subalgebra
• subalgebrae
• submultialgebra
• superalgebra
• superbialgebra
• superdialgebra
• switching algebra
• universal algebra
• vector algebra
• Weyl algebra
• Zinbiel algebra
• σ-algebra

 

Related terms

• algebraic
• algebraical
• algebraically
• algebraist
• algorithm

 

Translations

system for computation

• Afrikaans: algebra
• Arabic: عِلْم الْجَبْر m (ʕilm al-jabr), جَبْر (ar) m (jabr)
• Aramaic:

  Classical Syriac: ܡܘܠܝܐ ܘܦܘܚܡܐ

• Armenian: հանրահաշիվ (hy) (hanrahašiv)
• Asturian: álxebra f
• Azerbaijani: cəbr
• Belarusian: а́лгебра (be) (álhjebra)
• Bengali: বীজগণিত (bn) (bijgonito)
• Breton: lizherjedoniezh (br) f
• Burmese: အက္ခရာသင်္ချာ (my) (akhka.rasanghkya)
• Catalan: àlgebra (ca) f
• Chinese:

  Cantonese: 代數 / 代数 (doi⁶ sou³)

  Hokkien: 代數 / 代数 (tāi-sò͘)

  Mandarin: 代數 / 代数 (zh) (dàishù)

• Czech: algebra (cs) f
• Danish: algebra c
• Dutch: algebra (nl) m, stelkunde f
• Esperanto: algebro
• Estonian: algebra (et)
• Finnish: algebra (fi)
• French: algèbre (fr) f
• Galician: álxebra (gl) f
• Georgian: ალგებრა (algebra)
• German: Algebra (de) f
• Greek: άλγεβρα (el) f (álgevra)
• Gujarati: બીજગણિત (bījgaṇit)
• Hebrew: אַלגֶבּרָה f (algebra)
• Hindi: बीजगणित (hi) f (bījagṇit)
• Hungarian: algebra (hu)
• Icelandic: merkjamálsfræði f
• Ido: algebro (io)
• Indonesian: aljabar (id), ilmu hitung (id)
• Irish: ailgéabar m
• Italian: algebra (it) f
• Japanese: 代数 (ja) (だいすう, daisū)
• Kannada: ಬೀಜಗಣಿತ (kn) (bījagaṇita)
• Kazakh: алгебра (algebra)
• Khmer: ពីជគណិត (km) (piicĕəʼkĕəʼnət)
• Korean: 대수(代數) (ko) (daesu)
• Latvian: algebra (lv) f
• Lithuanian: algebra f
• Macedonian: алге́бра f (algébra)
• Malay: aljabar (ms), algebra (ms)
• Malayalam: ബീജഗണിതം (ml) (bījagaṇitaṁ)
• Maltese: alġebra
• Norwegian: algebra (no)
• Occitan: algèbra (oc) f
• Odia: ବୀଜଗଣିତ (or) (bijagaṇita)
• Persian: جبر (fa) (jabr)
• Polish: algebra (pl) f
• Portuguese: álgebra (pt) f
• Punjabi: ਅਲਜਬਰਾ (pa) m (alajbarā), ਬੀਜ ਗਣਿਤ m (bīj gaṇit)
• Romanian: algebră (ro) f
• Russian: а́лгебра (ru) f (álgebra)
• Scots: algebra
• Serbo-Croatian:

  Cyrillic: алгебра f

  Roman: algebra f

• Slovak: algebra f
• Slovene: algebra (sl) f
• Spanish: álgebra (es) f
• Swahili: aljebra (sw)
• Swedish: algebra (sv) c
• Tagalog: panandaan (tl)
• Tamil: இயற்கணிதம் (ta) (iyaṟkaṇitam)
• Thai: พีชคณิต (th) (pii-chá-ká-nít)
• Turkish: cebir (tr)
• Urdu: الجبرا m (aljabrā)
• Vietnamese: đại số (vi) (代數)
• Welsh: algebra m or f
• Yiddish: אַלגעברע f (algebre)

study of algebraic structures

• Afrikaans: algebra
• Arabic: جَبْر (ar) m (jabr), عِلْم الْجَبْر m (ʕilm al-jabr)
• Armenian: հանրահաշիվ (hy) (hanrahašiv)
• Belarusian: а́лгебра (be) f (álhjebra)
• Bulgarian: а́лгебра (bg) f (álgebra)
• Chinese:

  Cantonese: 代數學 / 代数学 (doi⁶ sou³ hok⁶)

  Mandarin: 代數學 / 代数学 (zh) (dàishùxué)

• Czech: algebra (cs) f
• Danish: algebra c
• Estonian: algebra (et)
• Fijian: ivakavakadina
• Finnish: algebra (fi)
• French: algèbre (fr) f
• Georgian: ალგებრა (algebra)
• German: Algebra (de) f
• Greek: άλγεβρα (el) f (álgevra)
• Haitian Creole: aljèb
• Hindi: बीजगणित (hi) f (bījagṇit)
• Hungarian: algebra (hu)
• Icelandic: merkjamálsfræði f
• Inuktitut: ᑎᑎᖅᖃᑦ ᓈᓴᐅᑎᓐᖑᖅᑎᒋᐊᓖᑦ (titiqqat naasaotinngoqticialiit)
• Irish: ailgéabar m
• Japanese: 代数学 (ja) (だいすうがく, daisūgaku)
• Korean: 대수학(代數學) (ko) (daesuhak)
• Macedonian: алге́бра f (algébra)
• Malay: aljabar (ms), algebra (ms)
• Malayalam: ബീജഗണിതം (ml) (bījagaṇitaṁ)
• Manx: algeerey m
• Odia: ବୀଜଗଣିତ (or) (bijagaṇita)
• Persian: جبر (fa) (jabr)
• Polish: algebra (pl) f
• Portuguese: álgebra (pt) f
• Quechua: qillqanancha kamay, alhibra
• Romanian: algebră (ro) f
• Russian: а́лгебра (ru) f (álgebra)
• Scottish Gaelic: ailseabra m
• Serbo-Croatian:

  Cyrillic: алгебра f

  Roman: algebra f

• Sicilian: àlgibbra (scn) f
• Spanish: álgebra (es) f
• Turkish: cebir (tr)
• Ukrainian: а́лгебра (uk) f (álhebra)
• Urdu: الجبرا m (aljabrā)
• Vietnamese: đại số học (vi) (代數學)
• Võro: algõbra

universal algebra — see universal algebra

structure

• Afrikaans: algebra
• Chinese:

  Mandarin: 代數 / 代数 (zh) (dàishù)

• Czech: algebra (cs) f
• Estonian: algebra (et)
• Finnish: algebra (fi)
• French: algèbre (fr) f
• Hungarian: algebra (hu)
• Japanese: 多元環 (たげんかん, tagenkan)
• Macedonian: алге́бра f (algébra)
• Polish: algebra (pl) f
• Portuguese: álgebra (pt) f
• Russian: а́лгебра (ru) f (álgebra)
• Serbo-Croatian:

  Cyrillic: алгебра f

  Roman: algebra f

• Spanish: álgebra (es) f

set theory: collection of subsets

• Finnish: algebra (fi)

one of several other types of mathematical structure

• Finnish: algebra (fi)

Anagrams

• Labarge

Czech

Etymology

Borrowed from Arabic الْجَبْر (al-jabr, “reunion, resetting of broken parts”); see also the English algebra.

Pronunciation

• IPA^(key): [ˈalɡɛbra]

Noun

algebra f

1. algebra

Declension

Declension of algebra (hard feminine reducible)

	singular	plural
nominative	algebra	algebry
genitive	algebry	algeber
dative	algebře	algebrám
accusative	algebru	algebry
vocative	algebro	algebry
locative	algebře	algebrách
instrumental	algebrou	algebrami

Derived terms

• Booleova algebra
• booleovská algebra

 

Related terms

• algebraický

 

Further reading

• “algebra”, in Příruční slovník jazyka českého (in Czech), 1935–1957
• “algebra”, in Slovník spisovného jazyka českého (in Czech), 1960–1971, 1989

Danish

Etymology

Borrowed from Medieval Latin algebra, from Arabic الْجَبْر (al-jabr).

Noun

algebra c (singular definite algebraen, not used in plural form)

1. (mathematics) algebra (using symbols)
2. (mathematics) algebra (study of algebraical structures)

Declension

Declension of algebra

common gender	Singular
	indefinite	definite
nominative	algebra	algebraen
genitive	algebras	algebraens

Dutch

Etymology

From Middle Dutch algebra, from Latin algebra, from Arabic الْجَبْر (al-jabr).

Pronunciation

• IPA^(key): /ˈɑl.ɣəˌbraː/

• Audio:

  (file)

• Hyphenation: al‧ge‧bra

Noun

algebra f (uncountable)

1. (mathematics) algebra

   Synonyms: stelkunde, stelkunst

Derived terms

• algebraïcus
• algebraïsch
• algebraïst
• lineaire algebra

Finnish

Etymology

From New Latin algebra, from Arabic الْجَبْر (al-jabr).

Pronunciation

• IPA^(key): /ˈɑlɡebrɑ/, [ˈɑ̝lɡe̞brɑ̝]
• Rhymes: -ɑlɡebrɑ
• Hyphenation^(key): al‧geb‧ra

Noun

algebra

1. algebra

Declension

Inflection of algebra (Kotus type 11/omena, no gradation)
nominative		algebra	algebrat
genitive		algebran	algebrien algebroiden algebroitten
partitive		algebraa	algebria algebroita
illative		algebraan	algebriin algebroihin
		singular	plural
nominative		algebra	algebrat
accusative	nom.	algebra	algebrat
	gen.	algebran
genitive		algebran	algebrien algebroiden algebroitten algebrojen rare algebrain rare
partitive		algebraa	algebria algebroita algebroja rare
inessive		algebrassa	algebroissa algebrissa
elative		algebrasta	algebroista algebrista
illative		algebraan	algebriin algebroihin
adessive		algebralla	algebroilla algebrilla
ablative		algebralta	algebroilta algebrilta
allative		algebralle	algebroille algebrille
essive		algebrana	algebroina algebrina
translative		algebraksi	algebroiksi algebriksi
abessive		algebratta	algebroitta algebritta
instructive		—	algebroin algebrin
comitative		See the possessive forms below.

Possessive forms of algebra (Kotus type 11/omena, no gradation)

first-person singular possessor singular plural nominative algebrani algebrani accusative nom. algebrani algebrani gen. algebrani genitive algebrani algebrieni algebroideni algebroitteni algebrojeni rare algebraini rare partitive algebraani algebriani algebroitani algebrojani rare inessive algebrassani algebroissani algebrissani elative algebrastani algebroistani algebristani illative algebraani algebriini algebroihini adessive algebrallani algebroillani algebrillani ablative algebraltani algebroiltani algebriltani allative algebralleni algebroilleni algebrilleni essive algebranani algebroinani algebrinani translative algebrakseni algebroikseni algebrikseni abessive algebrattani algebroittani algebrittani instructive — — comitative — algebroineni algebrineni second-person singular possessor singular plural nominative algebrasi algebrasi accusative nom. algebrasi algebrasi gen. algebrasi genitive algebrasi algebriesi algebroidesi algebroittesi algebrojesi rare algebraisi rare partitive algebraasi algebriasi algebroitasi algebrojasi rare inessive algebrassasi algebroissasi algebrissasi elative algebrastasi algebroistasi algebristasi illative algebraasi algebriisi algebroihisi adessive algebrallasi algebroillasi algebrillasi ablative algebraltasi algebroiltasi algebriltasi allative algebrallesi algebroillesi algebrillesi essive algebranasi algebroinasi algebrinasi translative algebraksesi algebroiksesi algebriksesi abessive algebrattasi algebroittasi algebrittasi instructive — — comitative — algebroinesi algebrinesi first-person plural possessor singular plural nominative algebramme algebramme accusative nom. algebramme algebramme gen. algebramme genitive algebramme algebriemme algebroidemme algebroittemme algebrojemme rare algebraimme rare partitive algebraamme algebriamme algebroitamme algebrojamme rare inessive algebrassamme algebroissamme algebrissamme elative algebrastamme algebroistamme algebristamme illative algebraamme algebriimme algebroihimme adessive algebrallamme algebroillamme algebrillamme ablative algebraltamme algebroiltamme algebriltamme allative algebrallemme algebroillemme algebrillemme essive algebranamme algebroinamme algebrinamme translative algebraksemme algebroiksemme algebriksemme abessive algebrattamme algebroittamme algebrittamme instructive — — comitative — algebroinemme algebrinemme second-person plural possessor singular plural nominative algebranne algebranne accusative nom. algebranne algebranne gen. algebranne genitive algebranne algebrienne algebroidenne algebroittenne algebrojenne rare algebrainne rare partitive algebraanne algebrianne algebroitanne algebrojanne rare inessive algebrassanne algebroissanne algebrissanne elative algebrastanne algebroistanne algebristanne illative algebraanne algebriinne algebroihinne adessive algebrallanne algebroillanne algebrillanne ablative algebraltanne algebroiltanne algebriltanne allative algebrallenne algebroillenne algebrillenne essive algebrananne algebroinanne algebrinanne translative algebraksenne algebroiksenne algebriksenne abessive algebrattanne algebroittanne algebrittanne instructive — — comitative — algebroinenne algebrinenne third-person possessor singular plural nominative algebransa algebransa accusative nom. algebransa algebransa gen. algebransa genitive algebransa algebriensa algebroidensa algebroittensa algebrojensa rare algebrainsa rare partitive algebraansa algebriaan algebroitaan algebriansa algebroitansa algebrojaan rare algebrojansa rare inessive algebrassaan algebrassansa algebroissaan algebrissaan algebroissansa algebrissansa elative algebrastaan algebrastansa algebroistaan algebristaan algebroistansa algebristansa illative algebraansa algebriinsa algebroihinsa adessive algebrallaan algebrallansa algebroillaan algebrillaan algebroillansa algebrillansa ablative algebraltaan algebraltansa algebroiltaan algebriltaan algebroiltansa algebriltansa allative algebralleen algebrallensa algebroilleen algebrilleen algebroillensa algebrillensa essive algebranaan algebranansa algebroinaan algebrinaan algebroinansa algebrinansa translative algebrakseen algebraksensa algebroikseen algebrikseen algebroiksensa algebriksensa abessive algebrattaan algebrattansa algebroittaan algebrittaan algebroittansa algebrittansa instructive — — comitative — algebroineen algebrineen algebroinensa algebrinensa

Derived terms

• algebrallinen

 

compounds

• alkeisalgebra
• joukkoalgebra
• lineaarialgebra
• matriisialgebra
• relaatioalgebra
• universaalialgebra
• vektorialgebra

 

Further reading

• “algebra”, in Kielitoimiston sanakirja [Dictionary of Contemporary Finnish]‎^[6] (in Finnish) (online dictionary, continuously updated), Kotimaisten kielten keskuksen verkkojulkaisuja 35, Helsinki: Kotimaisten kielten tutkimuskeskus (Institute for the Languages of Finland), 2004–, retrieved 2023-07-02

Hungarian

Etymology

From Latin algebra, from Arabic الْجَبْر (al-jabr).

Pronunciation

• IPA^(key): [ˈɒlɡɛbrɒ]
• Hyphenation: al‧geb‧ra
• Rhymes: -rɒ

Noun

algebra

1. (mathematics) algebra (a system for computation using letters or other symbols to represent numbers, with rules for manipulating these symbols)
2. (education) algebra (the study of algebra as a school subject)

   Tudnál segíteni algebrában? ― Could you help me with my algebra?

Declension

Inflection (stem in long/high vowel, back harmony)
	singular	plural
nominative	algebra	algebrák
accusative	algebrát	algebrákat
dative	algebrának	algebráknak
instrumental	algebrával	algebrákkal
causal-final	algebráért	algebrákért
translative	algebrává	algebrákká
terminative	algebráig	algebrákig
essive-formal	algebraként	algebrákként
essive-modal	—	—
inessive	algebrában	algebrákban
superessive	algebrán	algebrákon
adessive	algebránál	algebráknál
illative	algebrába	algebrákba
sublative	algebrára	algebrákra
allative	algebrához	algebrákhoz
elative	algebrából	algebrákból
delative	algebráról	algebrákról
ablative	algebrától	algebráktól
non-attributive possessive - singular	algebráé	algebráké
non-attributive possessive - plural	algebráéi	algebrákéi

Possessive forms of algebra
possessor	single possession	multiple possessions
1st person sing.	algebrám	algebráim
2nd person sing.	algebrád	algebráid
3rd person sing.	algebrája	algebrái
1st person plural	algebránk	algebráink
2nd person plural	algebrátok	algebráitok
3rd person plural	algebrájuk	algebráik

Derived terms

• algebrai

Further reading

• algebra in Bárczi, Géza and László Országh. A magyar nyelv értelmező szótára (“The Explanatory Dictionary of the Hungarian Language”, abbr.: ÉrtSz.). Budapest: Akadémiai Kiadó, 1959–1962. Fifth ed., 1992: →ISBN
• algebra in Nóra Ittzés, editor, A magyar nyelv nagyszótára [A Comprehensive Dictionary of the Hungarian Language] (Nszt.), Budapest: Akadémiai Kiadó, 2006–2031 (work in progress; published a–ez as of 2024).

Italian

Etymology

From Medieval Latin algebra, from Arabic الْجَبْر (al-jabr, “reunion, resetting of broken parts”).

Pronunciation

• IPA^(key): /ˈal.d͡ʒe.bra/
• Rhymes: -aldʒebra
• Hyphenation: àl‧ge‧bra

Noun

algebra f (plural algebre)

1. algebra

Related terms

• algebrico
• algebrista

Anagrams

• alberga

Latin

Etymology

Borrowed from Arabic الْجَبْر (al-jabr, “reunion, resetting of broken parts”).

Pronunciation

• (Classical Latin) IPA^(key): /ˈal.ɡe.bra/, [ˈäɫ̪ɡɛbrä]
• (modern Italianate Ecclesiastical) IPA^(key): /ˈal.d͡ʒe.bra/, [ˈäl̠ʲd͡ʒebrä]

Noun

algebra f (genitive algebrae); first declension

1. (Medieval Latin, New Latin) algebra

Declension

First-declension noun.

	singular	plural
nominative	algebra	algebrae
genitive	algebrae	algebrārum
dative	algebrae	algebrīs
accusative	algebram	algebrās
ablative	algebrā	algebrīs
vocative	algebra	algebrae

References

• algebra in Charles du Fresne du Cange’s Glossarium Mediæ et Infimæ Latinitatis (augmented edition with additions by D. P. Carpenterius, Adelungius and others, edited by Léopold Favre, 1883–1887)

Latvian

Algebras formula

Etymology

Via other European languages, ultimately from Medieval Latin algebra, from Arabic الْجَبْر (al-jabr, “reunion, resetting of broken parts”) in the title of al-Khwarizmi's influential work الْكِتَاب الْمُخْتَصَر فِي حِسَاب اَلْجَبْر وَالْمُقَابَلَة (al-kitāb al-muḵtaṣar fī ḥisāb al-jabr wa-l-muqābala, “The Compendious Book on Calculation by Completion and Balancing”).

Pronunciation

• IPA^(key): [alɡɛbɾa]

• Audio:

  (file)

Noun

algebra f (4th declension)

1. algebra is a branch of mathematics that studies generic numbers ('variables') regardless of their actual numeric value; the corresponding school subject

   algebras formula ― algebraic formula

   algebras specialists ― algebra specialist

   algebras mācību grāmata ― algebra textbook

   algebras stunda ― algebra class, lesson

   risināt, atrisināt algebras uzdevumu ― to solve an algebra problem

   algebra ir viena no matematikas pamatnozarēm ― algebra is one of the fundamental branches of mathematics

Declension

Declension of algebra (4th declension)

	singular (vienskaitlis)	plural (daudzskaitlis)
nominative (nominatīvs)	algebra	—
accusative (akuzatīvs)	algebru	—
genitive (ģenitīvs)	algebras	—
dative (datīvs)	algebrai	—
instrumental (instrumentālis)	algebru	—
locative (lokatīvs)	algebrā	—
vocative (vokatīvs)	algebra	—

Derived terms

• algebrisks

Norwegian Bokmål

Etymology

From Arabic الْجَبْر (al-jabr), via Medieval Latin algebra.

Noun

algebra m (definite singular algebraen, indefinite plural algebraer, definite plural algebraene)

1. (mathematics) algebra
2. an algebra textbook

Derived terms

• algebraisk
• lineær algebra

References

• “algebra” in The Bokmål Dictionary.

Norwegian Nynorsk

Etymology

From Arabic الْجَبْر (al-jabr), via Medieval Latin algebra.

Noun

algebra m (definite singular algebraen, indefinite plural algebraer, definite plural algebraene)

1. (mathematics) algebra
2. an algebra textbook

Derived terms

• algebraisk
• lineær algebra

References

• “algebra” in The Nynorsk Dictionary.

Polish

Etymology

Internationalism; compare English algebra. Possibly borrowed from German Algebra, French algèbre, or Spanish álgebra, ultimately from Medieval Latin algebra, from Arabic الْجَبْر (al-jabr) “reunion”, “resetting of broken parts”, used in the title of al-Khwarizmi’s influential work الْكِتَاب الْمُخْتَصَر فِي حِسَاب الْجَبْر وَالْمُقَابَلَة (al-kitāb al-muḵtaṣar fī ḥisāb al-jabr wa-l-muqābala, “the compendious book on restoration and equating like with like”). First attested in 1654–1676.

Pronunciation

• IPA^(key): /alˈɡɛ.bra/

• Audio:

  (file)

• Rhymes: -ɛbra
• Syllabification: al‧ge‧bra

Noun

algebra f

1. algebra (field of mathematics)

Declension

Declension of algebra

	singular	plural
nominative	algebra	algebry
genitive	algebry	algebr
dative	algebrze	algebrom
accusative	algebrę	algebry
instrumental	algebrą	algebrami
locative	algebrze	algebrach
vocative	algebro	algebry

Derived terms

adjective

• algebraiczny

 

adverb

• algebraicznie

 

nouns

• algebra abstrakcyjna
• algebraik

 

Collocations

Collocations

• uogólniona algebra ― generalized algebra
• matematyczna algebra ― mathematical algebra
• klasyczna algebra ― classic(al) algebra
• współczesna algebra ― modern algebra
• prosta algebra ― simple algebra
• zwykła algebra ― ordinary algebra
• algebra liniowa ― linear algebra
• algebra homologiczna ― homological algebra
• algebra abstrakcyjna ― algebra
• algebra przemienna ― commutative algebra
• algebra geometryczna ― geometric algebra
• algebra uniwersalna ― universal algebra
• algebra komputerowa ― computational algebra
• algebra ogólna ― general algebra
• algebra liczbowa ― numerical algebra
• algebra wyższa ― higher-level algebra
• algebra elementarna ― elementary algebra
• algebra centralna prosta ― central simple algebra
• algebra łączna ― associative algebra
• algebra prosta ― simple algebra
• homomorfizm algebry ― homomorphism of algebra
• operatory algebry ― algebra operators
• twierdzenie algebry ― theorum/statement of algebra
• podręcznik algebry ― an algebra textbook
• teoria algebr ― theory of algebras
• wykładowca algebry ― an algebra instructor
• dział/zakład algebry ― the branch of algebra
• język algebry ― the language of algebra
• reprezentacja algebry ― representation of algebra
• nauczyciel algebry ― an algebra teacher
• podstawy algebry ― the basics of algebra
• zasady algebry ― the rules of algebra
• metody algebry ― methods of algebra
• system algebry ― system of algebra
• dziedzina algebry ― field of algebra
• konstrukcja algebry ― construction of algebra
• badania algebry ― algebra research
• rozwój algebry ― development algebra
• prawa algebry ― laws of algebra
• algebra Clifforda ― Clifford algebra
• algebra Liego ― Lie algebra
• algebra Bool-skiego/Boole'a/Boola ― Boolean algebra
• algebra Banacha ― Banach algebra
• algebra kwaternionów ― algebra of quaternions
• algebra termów ― algebra of terms
• algebra macierzy ― algebra of matrices
• algebra zbiorów ― algebra of sets
• algebra operatorów ― algebra of operators
• algebra liczb ― algebra of numbers
• algebra relacji ― algebra of relations
• używać algebry ― to use algebra
• uczyć algebry ― to teach algebra
• uczyć się algebry ― to learn algebra
• tworzyć algebrę ― to create algebra

Further reading

• algebra in Wielki słownik języka polskiego, Instytut Języka Polskiego PAN
• algebra in Polish dictionaries at PWN
• Samuel Bogumił Linde (1807–1814) “algiebra”, in Słownik języka polskiego
• Aleksander Zdanowicz (1861) “algiebra”, in Słownik języka polskiego, Wilno 1861
• J. Karłowicz, A. Kryński, W. Niedźwiedzki, editors (1900), “algiebra”, in Słownik języka polskiego (in Polish), volume 1, Warsaw, page 24

Serbo-Croatian

Pronunciation

• IPA^(key): /ǎlɡeːbra/
• Hyphenation: al‧ge‧bra

Noun

àlgēbra f (Cyrillic spelling а̀лге̄бра)

1. algebra

Declension

Declension of algebra

	singular	plural
nominative	àlgēbra	algebre
genitive	algebre	àlgēbārā / àlgēbrī
dative	algebri	algebrama
accusative	algebru	algebre
vocative	algebro	algebre
locative	algebri	algebrama
instrumental	algebrom	algebrama

Further reading

• “algebra”, in Hrvatski jezični portal [Croatian language portal] (in Serbo-Croatian), 2006–2024

Spanish

Noun

algebra

1. Misspelling of álgebra.

Swedish

Noun

algebra c

1. (mathematics) algebra

Declension

Declension of algebra

		nominative	genitive
singular	indefinite	algebra	algebras
	definite	algebran	algebrans
plural	indefinite	algebror	algebrors
	definite	algebrorna	algebrornas

Related terms

• algebraisk
• relationsalgebra

Welsh

Noun

algebra m or f (uncountable)

1. (mathematics) algebra

   Synonym: (obsolete) alsoddeg

Mutation

Mutated forms of algebra

radical	soft	nasal	h-prothesis
algebra	unchanged	unchanged	halgebra

Note: Certain mutated forms of some words can never occur in standard Welsh.
All possible mutated forms are displayed for convenience.

References

• Delyth Prys, J.P.M. Jones, Owain Davies, Gruffudd Prys (2006) Y Termiadur: termau wedi'u safoni; standardised terminology‎^[7] (in Welsh), Cardiff: Awdurdod cymwysterau, cwricwlwm ac asesu Cymru (Qualifications curriculum & assessment authority for Wales), →ISBN
• R. J. Thomas, G. A. Bevan, P. J. Donovan, A. Hawke et al., editors (1950–present), “algebra”, in Geiriadur Prifysgol Cymru Online (in Welsh), University of Wales Centre for Advanced Welsh & Celtic Studies