Principal ideals of finitely generated commutative monoids

DOI10.1023/A:1021771304599zbMath1003.20052OpenAlexW2108387990WikidataQ58843009 ScholiaQ58843009MaRDI QIDQ3151377

Juan Ignacio García García, José Carlos Rosales

Publication date: 15 October 2002

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/30686

zbMATH Keywords

presentationsfinitely generated commutative monoidsprincipal idealscancellative monoids

Mathematics Subject Classification ID

Ideal theory for semigroups (20M12) Commutative semigroups (20M14) Free semigroups, generators and relations, word problems (20M05)

Cites Work

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• On finitely generated submonoids of \(\mathbb{N}^ k\)
• Binomial ideals
• Presentations for subsemigroups of finitely generated commutative semigroups
• Generators and relations of abelian semigroups and semigroup rings
• Rédei's characterization of congruences on finitely generated free commutative semigroups
• A deterministic algorithm to decide if a finitely presented abelian monoid is cancellative