Ideal class semigroups of overrings

DOI10.1016/j.jalgebra.2006.10.030zbMath1121.13022OpenAlexW2025951432MaRDI QIDQ2370145

Lucian Sega

Publication date: 22 June 2007

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2006.10.030

zbMATH Keywords

class semigroupfractional idealstable domainClifford regular domain

Mathematics Subject Classification ID

Integral domains (13G05) Divisibility and factorizations in commutative rings (13A05) Arithmetic rings and other special commutative rings (13F99)

Related Items (7)

Ten Problems on Stability of Domains ⋮ Finitely Stable Rings ⋮ Flat ideals and stability in integral domains ⋮ On some classes of integral domains defined by Krull's \(a.b.\) operations ⋮ ES-w-stability ⋮ Generic formal fibers and analytically ramified stable rings ⋮ Stability and Clifford Regularity with Respect to Star Operations

Cites Work

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• Rings with two-generated ideals
• Modules over Dedekind-like rings
• Propinquity of one-dimensional Gorenstein rings
• Well-centered overrings of an integral domain.
• Groups in the class semigroups of valuation domains
• Dedekind-like behavior of rings with 2-generated ideals
• Stable rings
• Two-generated ideals and representations of Abelian groups over valuation rings
• Class semigroups of Prüfer domains
• The ratliff-rush ideals in a noetherian ring
• The class semigroup of orders in number fields
• ON THE STRUCTURE OF STABLE DOMAINS
• Generalized Quotient Rings
• A Generalization of Zariski's Main Theorem
• Stable Ideals and Arf Rings
• Stable rings and a problem of Bass
• Clifford regular domains

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