Realization theorems for semigroups with divisor theory

DOI10.1007/BF02574342zbMath0751.20045OpenAlexW2056798524MaRDI QIDQ1185776

Alfred Geroldinger, Franz Halter-Koch

Publication date: 28 June 1992

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

Full work available at URL: https://eudml.org/doc/135146

zbMATH Keywords

cancellationcommutative semigroupfree commutative semigrouparithmetically closed subsemigroupsblock semigroupmultiplicative semigroup of a Dedekind domainsemigroup with divisor theory

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Commutative semigroups (20M14) Semigroup rings, multiplicative semigroups of rings (20M25)

Related Items (14)

Analytic and arithmetic theory of semigroups with divisor theory ⋮ A realization result for systems of sets of lengths ⋮ Some remarks on Lorenzen $r$-group of partly ordered groups ⋮ T-block monoids and their arithmetical applications to certain integral domains ⋮ Elasticity of factorizations in atomic monoids and integral domains ⋮ On Dedekind domains whose class groups are direct sums of cyclic groups ⋮ On the asymptotic behaviour of lengths of factorizations ⋮ Type semigroups and factorization problems ⋮ On the arithmetic of Krull monoids with infinite cyclic class group ⋮ Factorization theory of root closed monoids of small rank ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Structural results for semigroup subsets defined by factorization properties dependent on \(\Omega\) functions. ⋮ Arithmetical theory of monoid homomorphisms

Cites Work

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• Halbgruppen mit Divisorentheorie. (Semigroups with divisor theory)
• On non-unique factorizations into irreducible elements
• Subsemigroups of finitely generated groups with divisor-theory
• Arithmetic and ideal theory of commutative semigroups
• On Monoids of Finite Real Character
• Finite abelian groups and factorization problems
• Große Faktoren in der Klassengruppe algebraischer Zahlkörper
• The Class Group of Dedekind Domains

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