Nakayama's lemma
id:
nakayama-s-lemma-283-7480345
title:
Nakayama's lemma
text:
In mathematics, more specifically abstract algebra and commutative algebra, Nakayama's lemma — also known as the Krull–Azumaya theorem — governs the interaction between the Jacobson radical of a ring and its finitely generated modules. Informally, the lemma immediately gives a precise sense in which finitely generated modules over a commutative ring behave like vector spaces over a field. It is an important tool in algebraic geometry, because it allows local data on algebraic varieties, in the f
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https://en.wikipedia.org/wiki/Nakayama%27s_lemma
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date modified:
2024-03-03T20:26:35Z
main entity:
{"identifier":"Q1399751","url":"https://www.wikidata.org/entity/Q1399751"}
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