Arithmetical theory of monoid homomorphisms

DOI10.1007/BF02573682zbMath0805.20057OpenAlexW1978442146MaRDI QIDQ1322584

Alfred Geroldinger, Franz Halter-Koch

Publication date: 8 February 1995

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/135323

zbMATH Keywords

finitenessvaluationsintegral domainslocalizationscommutative cancellative monoidsKrull monoidschain conditionsintegral closuredivisor homomorphismsdivisor theories for monoidsessential homomorphisms

Mathematics Subject Classification ID

Commutative semigroups (20M14) Integral domains (13G05) Mappings of semigroups (20M15)

Related Items (16)

Direct-sum decompositions of modules with semilocal endomorphism rings. ⋮ Chains of factorizations and sets of lengths ⋮ Quasi-divisor theories and generalizations of Krull domains ⋮ Non-commutative Krull monoids: a divisor theoretic approach and their arithmetic. ⋮ \(t\)-valuations and the theory of quasi-divisors ⋮ On quasi divisor theories and systems of valuations ⋮ Elasticity of factorizations in atomic monoids and integral domains ⋮ On product-one sequences over subsets of groups ⋮ On Some Arithmetical Properties of Noetherian Domains ⋮ On morphisms of commutative monoids. ⋮ On strongly primary monoids, with a focus on Puiseux monoids ⋮ The inf-convolution as a law of monoid. An analogue to the Banach-Stone theorem ⋮ A semigroup-theoretical view of direct-sum decompositions and associated combinatorial problems ⋮ ON DELTA SETS OF NUMERICAL MONOIDS ⋮ Inside factorial monoids and integral domains ⋮ Unnamed Item

Cites Work

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• Realization theorems for semigroups with divisor theory
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• Valuation theory
• Arithmetic and ideal theory of commutative semigroups
• On Monoids of Finite Real Character
• On c-semigroups
• T-block monoids and their arithmetical applications to certain integral domains
• Families of Finite Character and Essential Valuations
• Rings of Krull type.
• Defining Families for Integral Domains of Real Finite Character

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