Associates, irreducibility, and factorization length in monoid rings with zero divisors

DOI10.1080/00927872.2020.1857391zbMath1461.13026OpenAlexW3118206437MaRDI QIDQ5858445

Ranthony A. C. Edmonds, Jason R. Juett

Publication date: 13 April 2021

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2020.1857391

zbMATH Keywords

irreducible elementsmonoid ringascending chain condition on principal idealsbounded factorization ringprésimplifiable/domainlike ring

Mathematics Subject Classification ID

Polynomials, factorization in commutative rings (13P05) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Semigroup rings, multiplicative semigroups of rings (20M25) Divisibility and factorizations in commutative rings (13A05)

Related Items (4)

On the atomic structure of torsion-free monoids ⋮ Bounded Factorization and the Ascending Chain Condition on Principal Ideals in Generalized Power Series Rings ⋮ Generalized power series with a limited number of factorizations ⋮ Finite factorization properties in commutative monoid rings with zero divisors

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