Artinian ideal
id:
artinian-ideal-315-16366304
title:
Artinian ideal
text:
In abstract algebra, an Artinian ideal, named after Emil Artin, is encountered in ring theory, in particular, with polynomial rings. Given a polynomial ring R = k[X1, ... Xn] where k is some field, an Artinian ideal is an ideal I in R for which the Krull dimension of the quotient ring R/I is 0. Also, less precisely, one can think of an Artinian ideal as one that has at least each indeterminate in R raised to a power greater than 0 as a generator. If an ideal is not Artinian, one can take the Art
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https://en.wikipedia.org/wiki/Artinian_ideal
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date modified:
2023-08-12T22:29:23Z
main entity:
{"identifier":"Q4801178","url":"https://www.wikidata.org/entity/Q4801178"}
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