Möbius categories as reduced standard division categories of combinatorial inverse monoids
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Publication:1882665
DOI10.1007/s00233-004-0112-6zbMath1049.18003OpenAlexW2094537196MaRDI QIDQ1882665
Publication date: 1 October 2004
Published in: Semigroup Forum (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00233-004-0112-6
Exact enumeration problems, generating functions (05A15) Inverse semigroups (20M18) Connections of semigroups with homological algebra and category theory (20M50) Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40)
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A half-factorial locally right Garside monoid and the inverse monoid of cofinite monotone partial bijections on \(\mathbb N^\ast\) ⋮ Derivations and generating degrees in the ring of arithmetical functions ⋮ Multidimensional averages and Dirichlet convolution ⋮ Broken Möbius categories of \(Q_3\)-type and their split inverse semigroups ⋮ A Dirichlet analogue of the free monogenic inverse semigroup via Möbius inversion. ⋮ A UNIQUE FACTORIZATION IN COMMUTATIVE MÖBIUS MONOIDS ⋮ THE REDUCED CLIFFORD CATEGORY OF THE KACHEL SEMIGROUP ON n LETTERS ⋮ On Incidence Algebras of Combinatorial Inverse Monoids ⋮ GENERALIZED ARITHMETICAL FUNCTIONS OF THREE VARIABLES ⋮ Möbius monoids and their connection to inverse monoids. ⋮ ARITHMETIC FUNCTIONS ON GAUSSIAN INTEGERS
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