STAR-INVERTIBILITY AND t-FINITE CHARACTER IN INTEGRAL DOMAINS

DOI10.1142/S0219498811004914zbMath1238.13007arXiv1001.5220OpenAlexW2122421214MaRDI QIDQ3117898

Giampaolo Picozza, Francesca Tartarone, Carmelo Antonio Finocchiaro

Publication date: 1 March 2012

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

Full work available at URL: https://arxiv.org/abs/1001.5220

zbMATH Keywords

finite characterinvertible idealstar-operation

Mathematics Subject Classification ID

Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Rings of fractions and localization for commutative rings (13B30)

Related Items

Ten Problems on Stability of Domains, Open Problems in Commutative Ring Theory, Integral domains of finite \(t\)-character, A Survey on the Local Invertibility of Ideals in Commutative Rings, Bazzoni’s conjecture and almost Prüfer domains, On some classes of integral domains defined by Krull's \(a.b.\) operations, Invertibility of ideals in Prüfer extensions, Integral Domains in which Every Nonzerot-Locally Principal Ideal ist-Invertible, Stability and Clifford Regularity with Respect to Star Operations

Cites Work

• Flat ideals and stability in integral domains
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• On the class group and the local class group of a pullback
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• Star-operations induced by overrings