Nakayama's conjecture

id: nakayama-s-conjecture-281-16040319
title: Nakayama's conjecture
text: In mathematics, Nakayama's conjecture is a conjecture about Artinian rings, introduced by Nakayama (1958). The generalized Nakayama conjecture is an extension to more general rings, introduced by Auslander and Reiten (1975). Leuschke & Huneke (2004) proved some cases of the generalized Nakayama conjecture. Nakayama's conjecture states that if all the modules of a minimal injective resolution of an Artin algebra R are injective and projective, then R is self-injective.
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original url: https://en.wikipedia.org/wiki/Nakayama%27s_conjecture
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date modified: 2022-08-18T16:21:17Z
main entity: {"identifier":"Q17078523","url":"https://www.wikidata.org/entity/Q17078523"}
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