Factorization problems in semigroups

DOI10.1007/BF02573249zbMath0693.20063OpenAlexW2070292166MaRDI QIDQ584428

Alfred Geroldinger, Günter Lettl

Publication date: 1990

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

Full work available at URL: https://eudml.org/doc/135002

zbMATH Keywords

factorization semigroupdivisor homomorphismfactorization into irreduciblessemigroup of invertible idealssemigroups in orders of algebraic number fieldssemigroups with divisor theory

Mathematics Subject Classification ID

Commutative semigroups (20M14) Units and factorization (11R27) Iwasawa theory (11R23) Mappings of semigroups (20M15)

Related Items (22)

Factorization invariants of the additive structure of exponential Puiseux semirings ⋮ On the hfd, chfd, and k-hfd properties in dedekind domains ⋮ Differences in sets of lengths of Krull monoids with finite class group. ⋮ T-block monoids and their arithmetical applications to certain integral domains ⋮ Elasticity of factorizations in atomic monoids and integral domains ⋮ Factorization in K[Xⁿ, Xⁿ⁺¹,…,X²ⁿ⁻¹] ⋮ Sets of Lengths ⋮ On the arithmetic of certain not integrally closed noetheian integral domains ⋮ Arithmetic of commutative semigroups with a focus on semigroups of ideals and modules ⋮ On Monoids of Ideals of Orders in Quadratic Number Fields ⋮ Arithmetical characterizations of divisor class groups ⋮ Factorization in finitely generated domains. ⋮ On the number and ideal theory of one-dimensional noetherian integral domains. ⋮ On the asymptotic behaviour of lengths of factorizations ⋮ On the arithmetic of power monoids and sumsets in cyclic groups ⋮ Rational Elasticity of Factorizations in Krull Domains ⋮ Factorization theory in commutative monoids ⋮ On products of \(k\) atoms. ⋮ Unions of sets of lengths. ⋮ Unnamed Item ⋮ Factorization in \(K[X^ 2,X^ 3\)] ⋮ Arithmetical theory of monoid homomorphisms

Cites Work

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• Arithmetic characterization of algebraic number fields with class group given
• On c-semigroups
• Half factorial domains
• A Characterization of Algebraic Number Fields with Class Number Two
• Ideals not prime to the conductor in quadratic orders

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