\(t\)-invertibility and Bazzoni-like statements

DOI10.1016/j.jpaa.2009.07.004zbMath1188.13010OpenAlexW2015780099MaRDI QIDQ847154

Muhammad Zafrullah

Publication date: 12 February 2010

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

Full work available at URL: https://doi.org/10.1016/j.jpaa.2009.07.004

zbMATH Keywords

Prüfer domainPVMD

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Ordered groups (06F15)

Related Items (24)

Unnamed Item ⋮ The \(t\)-Nagata ring of \(t\)-Schreier domains ⋮ ∗-Almost super-homogeneous ideals in ∗-h-local domains ⋮ Ten Problems on Stability of Domains ⋮ Open Problems in Commutative Ring Theory ⋮ Integral domains of finite \(t\)-character ⋮ A Bazzoni-Type Theorem for Multiplicative Lattices ⋮ A Survey on the Local Invertibility of Ideals in Commutative Rings ⋮ Bazzoni’s conjecture and almost Prüfer domains ⋮ PRESENTATIONS AND MODULE BASES OF INTEGER-VALUED POLYNOMIAL RINGS ⋮ ES-w-stability ⋮ Graded Prüfer domains ⋮ t-Schreier Domains ⋮ Integral Domains in Which Nonzero Locally Principal Ideals are Invertible ⋮ LPIdomains and Pullbacks ⋮ Two questions on domains in which locally principal ideals are invertible ⋮ Characterizing domains of finite \(*\)-character ⋮ Finite character, local stability property and local invertibility property ⋮ Graded Prüfer domains with Clifford homogeneous class semigroups ⋮ STAR-INVERTIBILITY AND t-FINITE CHARACTER IN INTEGRAL DOMAINS ⋮ Integral Domains in which Every Nonzerot-Locally Principal Ideal ist-Invertible ⋮ On \(\star\)-potent domains and \(\star\)-homogeneous ideals ⋮ Stability and Clifford Regularity with Respect to Star Operations ⋮ Domains whose ideals meet a universal restriction

Cites Work

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• Bazzoni's conjecture
• On Pruefer v-multiplication domains
• Semistar Linkedness and Flatness, Prüfer Semistar Multiplication Domains
• Characterizations of ^*-Multiplication Domains
• Clifford semigroups of ideals in monoids and domains
• Groups in the class semigroup of a prüfer domain of finite character
• Unruly Hilbert Domains
• Some Results on v-Multiplication Rings
• Clifford regular domains

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