Catenary ring
id:
catenary-ring-270-7899424
title:
Catenary ring
text:
In mathematics, a commutative ring R is catenary if for any pair of prime ideals p, q, any two strictly increasing chains of prime ideals are contained in maximal strictly increasing chains from p to q of the same (finite) length. In a geometric situation, in which the dimension of an algebraic variety attached to a prime ideal will decrease as the prime ideal becomes bigger, the length of such a chain n is usually the difference in dimensions. A ring is called universally catenary if all finite
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wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Catenary_ring
date created:
date modified:
2024-03-18T23:16:41Z
main entity:
{"identifier":"Q5051871","url":"https://www.wikidata.org/entity/Q5051871"}
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fields total:
13
integrity:
13