Noether normalization lemma
id:
noether-normalization-lemma-293-6939302
title:
Noether normalization lemma
text:
In mathematics, the Noether normalization lemma is a result of commutative algebra, introduced by Emmy Noether in 1926. It states that for any field k, and any finitely generated commutative k-algebra A, there exist elements y1, y2, ..., yd in A that are algebraically independent over k and such that A is a finitely generated module over the polynomial ring S = k [y1, y2, ..., yd]. The integer d is equal to the Krull dimension of the ring A; and if A is an integral domain, d is also the transcen
brand slug:
wiki
category slug:
encyclopedia
description:
Result of commutative algebra
original url:
https://en.wikipedia.org/wiki/Noether_normalization_lemma
date created:
date modified:
2024-04-15T09:54:16Z
main entity:
{"identifier":"Q1287074","url":"https://www.wikidata.org/entity/Q1287074"}
image:
fields total:
13
integrity:
14