Krull's theorem

id: krull-s-theorem-194-5150064
title: Krull's theorem
text: In mathematics, and more specifically in ring theory, Krull's theorem, named after Wolfgang Krull, asserts that a nonzero ring has at least one maximal ideal. The theorem was proved in 1929 by Krull, who used transfinite induction. The theorem admits a simple proof using Zorn's lemma, and in fact is equivalent to Zorn's lemma, which in turn is equivalent to the axiom of choice.
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original url: https://en.wikipedia.org/wiki/Krull%27s_theorem
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date modified: 2024-01-30T09:54:54Z
main entity: {"identifier":"Q2397775","url":"https://www.wikidata.org/entity/Q2397775"}
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