Möbius monoids and their connection to inverse monoids.

DOI10.1007/s00233-014-9666-0zbMath1344.20079OpenAlexW2027440577MaRDI QIDQ744853

Emil Daniel Schwab

Publication date: 12 October 2015

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

Full work available at URL: https://doi.org/10.1007/s00233-014-9666-0

zbMATH Keywords

Möbius functionsinverse monoidsinverse semigroupsMöbius categoriesbicyclic semigroupsMöbius monoidspolycyclic monoids

Mathematics Subject Classification ID

Inverse semigroups (20M18) Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40)

Related Items (4)

The bicyclic semigroup as the quotient inverse semigroup by any gauge inverse submonoid ⋮ A half-factorial locally right Garside monoid and the inverse monoid of cofinite monotone partial bijections on \(\mathbb N^\ast\) ⋮ Sets of lengths in atomic unit-cancellative finitely presented monoids ⋮ A note on Möbius functions and a breaking process

Cites Work

• The Möbius function on abelian semigroups.
• Möbius inversion formula for monoids with zero.
• Primitive partial permutation representations of the polycyclic monoids and branching function systems.
• Constructing inverse monoids from small categories
• Categories de Möbius et fonctorialites: un cadre général pour l'inversion de Möbius
• Constructing inverse semigroups from category actions
• Möbius categories as reduced standard division categories of combinatorial inverse monoids
• Strong representations of the polycyclic inverse monoids: cycles and atoms.
• The Euler characteristic of a category
• Incidence functions as generalized arithmetic functions. II, III
• Combinatorial problems of commutation and rearrangements
• DIRICHLET CONVOLUTION, BICYCLIC SEMIGROUP AND A BREAKING PROCESS
• A note on shortly connected inverse semigroups
• A UNIQUE FACTORIZATION IN COMMUTATIVE MÖBIUS MONOIDS
• A correspondence between a class of monoids and self-similar group actions II
• A Class of d-Simple Semigroups
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