A UNIQUE FACTORIZATION IN COMMUTATIVE MÖBIUS MONOIDS

DOI10.1142/S1793042108001523zbMath1154.20050MaRDI QIDQ3526556

Pentti Haukkanen, Emil Daniel Schwab

Publication date: 25 September 2008

Published in: International Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

multiplicative functionsMöbius inversion formulabisimple inverse monoidscommutative Möbius monoids

Mathematics Subject Classification ID

Commutative semigroups (20M14) Arithmetic functions; related numbers; inversion formulas (11A25) Inverse semigroups (20M18) Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05)

Related Items (6)

Modular Hecke algebras over Möbius categories ⋮ Sets of lengths in atomic unit-cancellative finitely presented monoids ⋮ GENERALIZED ARITHMETICAL FUNCTIONS OF THREE VARIABLES ⋮ Möbius monoids and their connection to inverse monoids. ⋮ A note on Möbius functions and a breaking process ⋮ DIRICHLET CONVOLUTION, BICYCLIC SEMIGROUP AND A BREAKING PROCESS

Cites Work

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• Categories de Möbius et fonctorialites: un cadre général pour l'inversion de Möbius
• Möbius categories as reduced standard division categories of combinatorial inverse monoids
• The Möbius category of some combinatorial inverse semigroups

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