Ehresmann semigroups whose categories are EI and their representation theory

DOI10.1016/j.jalgebra.2021.04.039OpenAlexW3170466483MaRDI QIDQ2042929

Itamar Stein, Stuart W. Margolis

Publication date: 22 July 2021

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

Full work available at URL: https://arxiv.org/abs/2008.06852

zbMATH Keywords

projective modulespartial functionssemigroup algebrasEhresmann semigroupsEI-categoriesright restriction semigroups

Mathematics Subject Classification ID

Representations of associative Artinian rings (16G10) Inverse semigroups (20M18) Representation of semigroups; actions of semigroups on sets (20M30)

Related Items (5)

Constellations with range and IS-categories ⋮ Algebras of reducedE-Fountain semigroups and the generalized ample identity ⋮ Proper Ehresmann semigroups ⋮ A groupoid approach to regular \(\ast \)-semigroups ⋮ Ehresmann semigroups whose categories are EI and their representation theory

Uses Software

• Prover9
• Mace4

Cites Work

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• Representation theory of finite monoids
• Locally adequate semigroup algebras
• A characterization of finite EI categories with hereditary category algebras
• A common framework for restriction semigroups and regular \(*\)-semigroups.
• The quiver of an algebra associated to the Mantaci-Reutenauer descent algebra and the homology of regular semigroups.
• Partition algebras.
• Erratum to: ``Algebras of Ehresmann semigroups and categories
• The representation theory of the monoid of all partial functions on a set and related monoids as EI-category algebras.
• Classical finite transformation semigroups. An introduction.
• A note on locally inverse semigroup algebras.
• Transformation groups
• Semigroups and ordered categories. I: The reduced case
• Transformation groups and algebraic \(K\)-theory
• Algebras of Ehresmann semigroups and categories
• On algebras of \(P\)-Ehresmann semigroups and their associate partial semigroups
• The global dimension of the algebra of the monoid of all partial functions on an \(n\)-set as the algebra of the EI-category of epimorphisms between subsets
• Ehresmann theory and partition monoids
• Ehresmann semigroups whose categories are EI and their representation theory
• Representation theory of order-related monoids of partial functions as locally trivial category algebras
• Möbius functions and semigroup representation theory. II: Character formulas and multiplicities.
• Möbius functions and semigroup representation theory.
• Semigroup algebras of finite ample semigroups
• ON THE SINGULAR PART OF THE PARTITION MONOID
• Quivers of monoids with basic algebras
• Partial Maps with Domain and Range: Extending Schein's Representation
• On the irreducible representations of a finite semigroup
• Projective indecomposable modules and quivers for monoid algebras
• Restriction and Ehresmann Semigroups
• The Burnside algebra of a finite group

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