Artinian

English

Etymology

From Artin +‎ -ian, after Emil Artin, an Armenian-Austrian mathematician.

Pronunciation

• Audio (US):

  (file)

Adjective

Artinian (not comparable)

1. (algebra, of a ring) in which any descending chain of ideals eventually starts repeating.
2. (algebra, of a module) in which any descending chain of submodules eventually starts repeating.

Translations

of a ring

• Chinese:

  Mandarin: 阿廷的

• French: artinien (fr)
• Italian: artiniano
• Portuguese: artiniano

of a module

• Chinese:

  Mandarin: 阿廷的

See also

• noetherian
• descending chain condition

Anagrams

• antiarin