Class semigroups of integral domains

DOI10.1016/S0021-8693(03)00153-4zbMath1027.13012arXivmath/0606691OpenAlexW2963557567MaRDI QIDQ1399188

Salah-Eddine Kabbaj, Abdeslam Mimouni

Publication date: 30 July 2003

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

Full work available at URL: https://arxiv.org/abs/math/0606691

zbMATH Keywords

Clifford semigroupBezout domain of finite characterBoolean class semigroup

Mathematics Subject Classification ID

Integral domains (13G05) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Class groups (13C20)

Related Items (16)

Minimal reductions and core of ideals in pullbacks ⋮ Ideal semigroups of noetherian domains and Ponizovski decompositions ⋮ Core of ideals in one-dimensional Noetherian domains ⋮ Integral domains with Boolean \(t\)-class semigroup ⋮ Flat ideals and stability in integral domains ⋮ Core of ideals in integral domains ⋮ Reductions and cores of ideals in trivial ring extensions ⋮ Structure of general ideal semigroups of monoids and domains ⋮ Reductions and Core of Ideals in Integral Domains: Some Recent Developments ⋮ The class semigroup of local one-dimensional domains ⋮ Star stability and star regularity for Mori domains ⋮ t-class semigroups of integral domains ⋮ Constituent groups of Clifford semigroups arising from \(t\)-closure ⋮ Clifford semigroups of ideals in monoids and domains ⋮ w-Stability and Cliffordw-Regularity of Polynomial Rings ⋮ Stability and Clifford Regularity with Respect to Star Operations

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