The monoid of regular elements in commutative rings with zero divisors

DOI10.1080/00927872.2021.1979028zbMath1485.13006OpenAlexW3204633076MaRDI QIDQ5037599

Gyu Whan Chang, Jun-Seok Oh

Publication date: 1 March 2022

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

Full work available at URL: https://doi.org/10.1080/00927872.2021.1979028

zbMATH Keywords

class groupKrull monoidKrull ring\(t\)-operation\(t\)-Marot ringrank-one DVR

Mathematics Subject Classification ID

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

Related Items (4)

General w-ZPI-Rings and a Tool for Characterizing Certain Classes of Monoid Rings ⋮ Prüfer rings in a certain pullback ⋮ On monoids of weighted zero-sum sequences and applications to norm monoids in Galois number fields and binary quadratic forms ⋮ On Dedekind domains whose class groups are direct sums of cyclic groups

Cites Work

• Idealization of a module
• Prüfer v-multiplication domains and the ring \(R[X_{N_ v}\)]
• Krull rings
• Integral closure of a ring whose regular ideals are finitely generated
• Characterizations of Krull rings with zero divisors
• On Monoids of Finite Real Character
• On Krull rings with zero divisors
• ON v-MAROT MORI RINGS AND C-RINGS
• Rings, Modules, and Closure Operations
• On Prüfer rings
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