IRREDUCIBILITY OF CERTAIN BINOMIALS IN SEMIGROUP RINGS FOR NONNEGATIVE RATIONAL MONOIDS

DOI10.24330/ieja.440192zbMath1401.13057OpenAlexW2809922124MaRDI QIDQ4582757

Hamid Kulosman, Ryan Gipson, Katie Christensen

Publication date: 24 August 2018

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

Full work available at URL: https://doi.org/10.24330/ieja.440192

zbMATH Keywords

semigroup ringprime elementatomic domainirreducible elementAP domainheight \((0, 0, 0, \ldots)\)

Mathematics Subject Classification ID

Commutative semigroups (20M14) Polynomials in general fields (irreducibility, etc.) (12E05) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Divisibility and factorizations in commutative rings (13A05)

Related Items (1)

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Cites Work

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• On vanishing sums of roots of unity.
• On Algebraic Properties of Infinite Group Rings
• Atomic and AP semigroup rings $F[X;M$, where $M$ is a submonoid of the additive monoid of nonnegative rational numbers]
• Binomial Coefficients Modulo a Prime

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