On Mori domains and commutative rings with \(CC^{\perp}\). I

DOI10.1016/0022-4049(89)90060-1zbMath0677.13005OpenAlexW2004460636MaRDI QIDQ1123232

Moshe Roitman

Publication date: 1989

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(89)90060-1

zbMATH Keywords

polynomial ringascending chain conditionMori domains

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Chain conditions, finiteness conditions in commutative ring theory (13E99)

Related Items (21)

GENERALLY t-LINKATIVE DOMAINS ⋮ When Is (K + I,K[y₁,…,y_t) a Mori Pair?] ⋮ The class group of a strongly mori domain ⋮ Almost principal ideals in \(\mathrm R[x\)] ⋮ Characterizing maximal non-Mori subrings of an integral domain ⋮ On the prime spectrum of a mori domain ⋮ Power series rings over strong Mori domains. ⋮ On Mori domains and commutative rings with \(CC^{\perp}\). II ⋮ Splitting sets in integral domains ⋮ Splitting the t-class group ⋮ On semi-Krull domains ⋮ A note on *_{𝑤}-Noetherian domains ⋮ The Mori property in rings with zero divisors. II. ⋮ Factorization in integral domains. II ⋮ Group rings and semigroup rings over strong Mori domains. ⋮ A lifting approach to v- and t-ideals ⋮ On the complete integral closure of a Mori domain ⋮ On the Ascent of Properties Related to Unique Factorization Domains ⋮ Mori domains of integer-valued polynomials ⋮ On polynomial extensions of Mori domains over countable fields ⋮ Stability and Clifford Regularity with Respect to Star Operations

Cites Work

• Strongly divisorial ideals and complete integral closure of an integral domain
• How far is a Mori domain from being a Krull domain ?
• Idéaux divisoriels d'un anneau de polynômes
• On polynomial and power series rings over a commutative ring
• Polynomial rings over finite dimensional rings
• Certain Classes of Ideals in Polynomial Rings
• On a class of mori domains
• Sur Les Anneaux Reflexifs
• Pairs of Rings with the Same Prime Ideals
• Note on coefficient fields of complete local rings
• Zero Divisors and Nilpotent Elements in Power Series Rings
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On Mori domains and commutative rings with \(CC^{\perp}\). I