Nakayama's lemma for acts over monoids.

DOI10.1007/s00233-014-9653-5zbMath1338.20060OpenAlexW2012786091WikidataQ125023420 ScholiaQ125023420MaRDI QIDQ2634948

Kamal Ahmadi, Ali Madanshekaf

Publication date: 10 February 2016

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00233-014-9653-5

zbMATH Keywords

projective coversfinitely generated idealsNakayama lemmamaximal right idealscategories of right actsacts over monoids\(S\)-actsNoetherian monoidsprincipally reduced monoidsquasi-strongly faithful acts

Mathematics Subject Classification ID

Ideal theory for semigroups (20M12) Connections of semigroups with homological algebra and category theory (20M50) Representation of semigroups; actions of semigroups on sets (20M30)

Related Items

Dedekind-finite acts over monoids ⋮ Co-uniform and hollow S-acts over monoids

Cites Work

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• Primary ideals in semigroups
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