lie above

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.