Type semigroups and factorization problems

DOI10.1007/BF03323105zbMath0769.11039OpenAlexW2092639460MaRDI QIDQ1196068

Franz Halter-Koch

Publication date: 12 January 1993

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03323105

zbMATH Keywords

Krull semigroupsnon-unique factorizationnumbers with unique factorization

Mathematics Subject Classification ID

Commutative semigroups (20M14) Units and factorization (11R27)

Related Items (4)

A QUANTITATIVE ASPECT OF NON-UNIQUE FACTORIZATIONS: THE NARKIEWICZ CONSTANTS ⋮ On generalized Narkiewicz constants of finite abelian groups ⋮ On a conjecture concerning the maximal cross number of unique factorization indexed sequences ⋮ Unnamed Item

Cites Work

• Halbgruppen mit Divisorentheorie. (Semigroups with divisor theory)
• Arithmetical characterizations of divisor class groups
• On non-unique factorizations into irreducible elements
• An approximation theorem for semigroups with divisor theory
• Finiteness theorems for factorizations
• Realization theorems for semigroups with divisor theory
• On Davenport's constant
• Divisorentheorie einer Halbgruppe
• Some remarks on factorization in algebraic number fields
• Factorization of natural numbers in algebraic number fields
• Finite abelian groups and factorization problems. II
• Finite abelian groups and factorization problems
• Arithmetic characterization of algebraic number fields with class group given
• Krull Semigroups and Divisor Class Groups
• Quantitative aspects of non-unique factorization: A general theory with applications to algebraic function fields.
• Numbers with unique factorization in an algebraic number field
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