Morita equivalence of finite semigroups

DOI10.1007/s00233-020-10153-yOpenAlexW3119468180MaRDI QIDQ2031444

Valdis Laan, Lauri Tart, Ülo Reimaa

Publication date: 9 June 2021

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

Full work available at URL: https://doi.org/10.1007/s00233-020-10153-y

zbMATH Keywords

semigroupMorita equivalencerectangular bandunitary actCauchy completionfinite semigrouplocal groupfirm actrestriction of action

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Connections of semigroups with homological algebra and category theory (20M50) Representation of semigroups; actions of semigroups on sets (20M30)

Related Items (2)

Unnamed Item ⋮ Lattices and quantales of ideals of semigroups and their preservation under Morita contexts

Cites Work

• Fair semigroups and Morita equivalence
• Acceptable Morita contexts for semigroups.
• Context equivalence of semigroups.
• Morita equivalence of semigroups with local units.
• Morita equivalence based on contexts for various categories of modules over associative rings
• Morita equivalence of semigroups revisited: firm semigroups
• Strong Morita equivalence and a generalisation of the Rees theorem
• Lattices and quantales of ideals of semigroups and their preservation under Morita contexts
• Representation theory of finite semigroups, semigroup radicals and formal language theory
• Perfect semigroups
• Morita equivalence of factorizable semigroups
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