Divisors of finite character

DOI10.1007/BF01766024zbMATH Open0533.20034MaRDI QIDQ789531

Karl Egil Aubert

Publication date: 1983

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

divisibilitymultiplicative structuresordered abelian groupmultiplicative semigroupssystems of idealst-ideal

Mathematics Subject Classification ID

Ideal theory for semigroups (20M12) Ideals and multiplicative ideal theory in commutative rings (13A15) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20) Modules, bimodules and ideals in associative algebras (16Dxx)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Functional representation of partially ordered groups
• Le théorème d'approximation pour les valuations de Krull
• Theory of \(x\)-ideals
• Constructing Bezout domains
• Groupes et anneaux reticules
• Divisorentheorie einer Halbgruppe
• Additive ideal systems
• A theorem on lattice ordered groups and its applications to the valuation theory
• Partially ordered additive groups of continuous functions
• Contribution à l'étude des groupes ordonnés
• The Chinese remainder theorem and sheaf representations
• Ideal systems and lattice theory.
• On lattice-ordered groups
• Some Results on v-Multiplication Rings
• A Representation Theory for Lattice-Groups
• Semi-Valuations and Groups of Divisibility
• Convex Directed Subgroups of a Group of Divisibility
• Algebraic Theory of Numbers

Related Items (13)

Topological characterizations of ordered groups with quasi-divisor theory ⋮ Some remarks on Lorenzen $r$-group of partly ordered groups ⋮ Quasi-divisor theories and generalizations of Krull domains ⋮ Title not available (Why is that?) ⋮ \(t\)-valuations and the theory of quasi-divisors ⋮ On quasi divisor theories and systems of valuations ⋮ Title not available (Why is that?) ⋮ Rings with a theory of greatest common divisors ⋮ Anneaux à diviseurs et anneaux de Krull (une approche constructive) ⋮ Construction of po-groups with quasi-divisors theory ⋮ Title not available (Why is that?) ⋮ Ideal divisibility monoids ⋮ Lorenzen’s Correspondence with Hasse, Krull, and Aubert, Together with Some Relevant Documents

This page was built for publication: Divisors of finite character

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q789531)