Ideal semigroups of noetherian domains and Ponizovski decompositions

DOI10.1016/j.jpaa.2006.07.012zbMath1114.13015OpenAlexW1969341368MaRDI QIDQ872182

Franz Halter-Koch

Publication date: 27 March 2007

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2006.07.012

zbMATH Keywords

Clifford semigroups\(R\)-latticescomplete semigroupsnoetherian domains

Mathematics Subject Classification ID

Commutative semigroups (20M14) Class numbers, class groups, discriminants (11R29) Algebraic numbers; rings of algebraic integers (11R04) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items

Structure of general ideal semigroups of monoids and domains ⋮ The class semigroup of local one-dimensional domains ⋮ Clifford semigroups of ideals in monoids and domains

Cites Work

• Class semigroups of integral domains
• Groups in the class semigroups of valuation domains
• Cancellative commutative semigroups
• On the theory of orders, in particular on the semigroup of ideal classes and genera of an order in an algebraic number field
• The class semigroup of orders in number fields
• Principal Orders and Embedding of Local Fields in Algebras
• Clifford regular domains
• Unnamed Item
• Unnamed Item
• Unnamed Item