Groups in the class semigroup of a prüfer domain of finite character

DOI10.1080/00927870008827147zbMath0997.13005OpenAlexW2069546855WikidataQ105710956 ScholiaQ105710956MaRDI QIDQ4519203

Silvana Bazzoni

Publication date: 19 November 2002

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

Full work available at URL: https://doi.org/10.1080/00927870008827147

zbMATH Keywords

Prüfer domains of finite character

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Integral domains (13G05) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Class groups (13C20)

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Cites Work

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• Some properties of divisorial prime ideals in Prüfer domains
• Groups in the class semigroups of valuation domains
• Class semigroups of Prüfer domains
• Prüfer domains and endomorphism rings of their ideals
• Overrings of Prüfer domains. II
• The class semigroup of orders in number fields
• The hierarchy of uniserial modules over a valuation domain