Unique factorization properties in commutative monoid rings with zero divisors

DOI10.1007/s00233-020-10154-xzbMath1505.13027OpenAlexW3152421003MaRDI QIDQ2031434

Jason R. Juett, Rhys D. Roberts, Christopher Park Mooney

Publication date: 9 June 2021

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

Full work available at URL: https://doi.org/10.1007/s00233-020-10154-x

zbMATH Keywords

monoid ringprincipal ideal ring(restricted) ideal cancellation lawsrestricted cancellative ringunique factorization rings with zero divisors

Mathematics Subject Classification ID

Principal ideal rings (13F10) Ideals and multiplicative ideal theory in commutative rings (13A15) 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 (1)

General w-ZPI-Rings and a Tool for Characterizing Certain Classes of Monoid Rings

Cites Work

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