Some properties of monoids with infinity

DOI10.1007/S00233-024-10443-9zbMATH Open1545.20046MaRDI QIDQ6582346

Hamid Kulosman, Alica Miller

Publication date: 2 August 2024

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

zbMATH Keywords

Bézoutideal theory of semigroupsatomic domain with infinitycancellative additive monoid with infinitydomain with infinityPC domain with infinityPrüfer and valuation monoid with infinity

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Ideal theory for semigroups (20M12) Commutative semigroups (20M14) Ideals and multiplicative ideal theory in commutative rings (13A15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Cites Work

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• Arithmetic and ideal theory of commutative semigroups
• Structure and ideal theory of commutative semigroups
• IRREDUCIBILITY OF CERTAIN BINOMIALS IN SEMIGROUP RINGS FOR NONNEGATIVE RATIONAL MONOIDS
• Atomic and AP semigroup rings $F[X;M]$, where $M$ is a submonoid of the additive monoid of nonnegative rational numbers
• On the ideal theory of commutative semi-groups

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