Characterization of Prüfer multiplication monoids and domains by means of spectral module systems.

DOI10.1007/S00605-002-0496-XzbMath1058.20049OpenAlexW1981105323MaRDI QIDQ1396720

Franz Halter-Koch

Publication date: 8 July 2003

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-002-0496-x

zbMATH Keywords

invertible idealscommutative cancellative monoidsfinitely generated idealsPrüfer domainsideal systemsPrüfer monoids

Mathematics Subject Classification ID

Ideal theory for semigroups (20M12) Commutative semigroups (20M14) Integral domains (13G05) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

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Local–Global Properties for Semistar Operations ⋮ Semistar Dedekind domains ⋮ Semistar Invertibility on Integral Domains ⋮ Star Operations on Overrings and Semistar Operations ⋮ Onv-Domains and Star Operations

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