Unique factorization of ideals in commutative rings with zero divisors

DOI10.1080/00927872.2020.1864390zbMath1464.13018OpenAlexW3120825111MaRDI QIDQ5858462

Christopher Park Mooney, Lois W. Ndungu, 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/10.1080/00927872.2020.1864390

zbMATH Keywords

monoid ringsDedekind ringsunique factorization of ideals(regular) \(\pi\)-ringsgeneral ZPI-rings

Mathematics Subject Classification ID

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) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Divisibility and factorizations in commutative rings (13A05)

Related Items

General w-ZPI-Rings and a Tool for Characterizing Certain Classes of Monoid Rings ⋮ Invertibility, Semistar Operations, and the Ring of Finite Fractions ⋮ Unique factorization properties in commutative monoid rings with zero divisors

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