Domains whose ideals meet a universal restriction

DOI10.1142/S0219498823500408OpenAlexW3201661869MaRDI QIDQ5879280

Muhammad Zafrullah

Publication date: 28 February 2023

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.04135

zbMATH Keywords

lattice\(t\)-idealNoetherianDedekinddivisorial ideal\(t\)-invertibilityKrullMori\(H\)-domain

Mathematics Subject Classification ID

Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Ordered semigroups and monoids (06F05)

Cites Work

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• Integral domains in which any two \(v\)-coprime elements are comaximal
• \(t\)-invertibility and Bazzoni-like statements
• Well behaved prime t-ideals
• Characterizing domains of finite \(*\)-character
• Some remarks on almost \(l\)-groups
• A general theory of almost factoriality
• Some remarks on star operations and the class group
• Integral domains in which each t-ideal is divisorial
• Some remarks on star-operations
• On Pruefer v-multiplication domains
• On Krull domains
• Almost Bézout domains
• \(D+M\) constructions with general overrings
• Flat ideals. II
• The construction \(D+XD_s[X\)]
• The \(t\)\#-property for integral domains
• \(\star\)-super potent domains
• Almost Krull domains and their rings of integer-valued polynomials
• \(t\)-local domains and valuation domains
• Unique factorization of ideals in the sense of quasi-equality
• Overrings and divisorial ideals of rings of the form \(D+M\)
• On t-ideals of an integral domain
• On Almost Prüfer v-Multiplication Domains
• Ascending chain conditions and star operations
• On t-invertibility II
• On generalized Dedekind domains
• On a property of pre-schreier domains
• The Local Class Group of a Krull Domain
• Globalization of Some Local Properties in Krull Domains
• π-domains, overrings, and divisorial ideals
• Two star-operations and their induced lattices
• Unruly Hilbert Domains
• Agreeable domains
• Rings, Modules, and Closure Operations
• Nagata-like theorems for integral domains of finite character and finite t-character
• An Essential Ring Which is Not A v-Multiplication Ring
• Almost GCD domains of finite \(t\)-character.

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