Divisors of finite character

DOI10.1007/BF01766024zbMath0533.20034MaRDI 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)

Related Items

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 ⋮ Unnamed Item ⋮ \(t\)-valuations and the theory of quasi-divisors ⋮ On quasi divisor theories and systems of valuations ⋮ Unnamed Item ⋮ 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 ⋮ Unnamed Item ⋮ Ideal divisibility monoids ⋮ Lorenzen’s Correspondence with Hasse, Krull, and Aubert, Together with Some Relevant Documents

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