Density of type-dependent sets in Krull monoids with analytic structure

DOI10.1007/s00233-021-10247-1OpenAlexW4200624784MaRDI QIDQ2143183

Maciej Radziejewski

Publication date: 31 May 2022

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

Full work available at URL: https://doi.org/10.1007/s00233-021-10247-1

zbMATH Keywords

formationssemigroups with divisor theoryanalytic monoidssubsets defined by factorization propertiestype-dependent sets

Mathematics Subject Classification ID

Commutative semigroups (20M14) Asymptotic results on arithmetic functions (11N37) Other Dirichlet series and zeta functions (11M41) Factorization; primality (11A51) Arithmetic theory of semigroups (20M13) Algebraic monoids (20M32)

Cites Work

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• Structural results for semigroup subsets defined by factorization properties dependent on \(\Omega\) functions.
• Analytic monoids and factorization problems
• A pure arithmetical definition of the class group
• The asymptotic behaviour of the counting functions of \varOmega -sets in arithmetical semigroups
• Numbers with unique factorization in an algebraic number field