On Incidence Algebras of Combinatorial Inverse Monoids

DOI10.1080/00927871003694514zbMath1208.20054OpenAlexW2160250907MaRDI QIDQ3578227

Emil Daniel Schwab

Publication date: 14 July 2010

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927871003694514

zbMATH Keywords

Möbius functioninverse monoidsincidence algebraslocally finite posetsMöbius categoriesbisimple monoidsdivision categories

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorics of partially ordered sets (06A07) Inverse semigroups (20M18) Connections of semigroups with homological algebra and category theory (20M50) Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40)

Related Items (2)

Broken Möbius categories of \(Q_3\)-type and their split inverse semigroups ⋮ A Dirichlet analogue of the free monogenic inverse semigroup via Möbius inversion.

Cites Work

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• Constructing inverse monoids from small categories
• Varieties of completely semisimple inverse semigroups
• Categories de Möbius et fonctorialites: un cadre général pour l'inversion de Möbius
• Equivalences between \(\mathcal D\)-categories of inverse monoids
• Möbius categories as reduced standard division categories of combinatorial inverse monoids
• The Möbius category of some combinatorial inverse semigroups
• An application of groupoids of fractions to inverse semigroups
• The congruence lattice of a combinatorial strict inverse semigroup
• [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions]

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