Characterization of Prüfer-Like Monoids and Domains by GCD-Theories

DOI10.1080/00927871003591959zbMath1223.20052OpenAlexW2084997571MaRDI QIDQ3084555

Franz Halter-Koch

Publication date: 25 March 2011

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

Full work available at URL: https://doi.org/10.1080/00927871003591959

zbMATH Keywords

integral domainscommutative cancellative monoidsPrüfer-like monoidssemigroups of invertible ideals

Mathematics Subject Classification ID

Ideal theory for semigroups (20M12) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Arithmetic theory of semigroups (20M13)

Related Items (1)

Anneaux à diviseurs et anneaux de Krull (une approche constructive)

Cites Work

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• Ascending chain conditions and star operations
• Characterizations of ^*-Multiplication Domains
• Fiber Cone of Codimension 2 Lattice Ideals
• On generalized Dedekind domains
• Some Results on v-Multiplication Rings

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