lie above

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English

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Verb

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lie above (third-person singular simple present lies above, present participle lying above, simple past lay above, past participle lain above)

  1. (algebra, ring theory) Synonym of lie over.
    • 2007, Meinolf Geck, Group Representation Theory, EPFL Press, page 199:
      If p1, p ∈ Spec(A) with p1 ⊂ p, and if q1 ∈ Spec(B) lies above p1, then there exists q ∈ Spec(B) which lies above p and such that q1 ⊂ q.