A half-factorial locally right Garside monoid and the inverse monoid of cofinite monotone partial bijections on \(\mathbb N^\ast\)

DOI10.1007/S00233-015-9727-ZzbMath1384.20048OpenAlexW2124720419MaRDI QIDQ283336

Emil Daniel Schwab

Publication date: 13 May 2016

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

Full work available at URL: https://doi.org/10.1007/s00233-015-9727-z

zbMATH Keywords

Möbius functionhalf-factorialinverse monoidMöbius monoidpartial bijectionpolycyclic monoid

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Semigroups of transformations, relations, partitions, etc. (20M20) Free semigroups, generators and relations, word problems (20M05) Braid groups; Artin groups (20F36)

Related Items (2)

Sets of lengths in atomic unit-cancellative finitely presented monoids ⋮ A note on Möbius functions and a breaking process

Cites Work

• Möbius monoids and their connection to inverse monoids.
• Alternating normal forms for braids and locally Garside monoids.
• 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.
• DIRICHLET CONVOLUTION, BICYCLIC SEMIGROUP AND A BREAKING PROCESS
• Topological monoids of monotone injective partial selfmaps of ℕ with cofinite domain and image
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