Serre's inequality on height

id: serre-s-inequality-on-height-300-16616299
title: Serre's inequality on height
text: In algebra, specifically in the theory of commutative rings, Serre's inequality on height states: given a (Noetherian) regular ring A and a pair of prime ideals p , q in it, for each prime ideal r that is a minimal prime ideal over the sum p + q , the following inequality on heights holds: Without the assumption on regularity, the inequality can fail; see scheme-theoretic intersection#Proper intersection.
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original url: https://en.wikipedia.org/wiki/Serre%27s_inequality_on_height
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date modified: 2023-11-07T09:05:46Z
main entity: {"identifier":"Q85800438","url":"https://www.wikidata.org/entity/Q85800438"}
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