Atomic and AP semigroup rings $F[X;M]$, where $M$ is a submonoid of the additive monoid of nonnegative rational numbers

DOI10.24330/ieja.325939zbMath1453.13060OpenAlexW2725384320MaRDI QIDQ4975095

Ryan Gipson, Hamid Kulosman

Publication date: 8 August 2017

Published in: International Electronic Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.24330/ieja.325939

zbMATH Keywords

semigroup ringprime elementatomic domainirreducible elementAP domain

Mathematics Subject Classification ID

Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Divisibility and factorizations in commutative rings (13A05)

Related Items (3)

Unnamed Item ⋮ THE NUMBER OF ADDENDS IN THE DECOMPOSITION OF AN ELEMENT OF A NUMERICAL MONOID INTO ATOMS ⋮ IRREDUCIBILITY OF CERTAIN BINOMIALS IN SEMIGROUP RINGS FOR NONNEGATIVE RATIONAL MONOIDS

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