Morita equivalence of semigroups with local units.

DOI10.1016/j.jpaa.2010.04.030zbMath1229.20060arXiv0904.3848OpenAlexW2097492169MaRDI QIDQ616323

Mark V. Lawson

Publication date: 7 January 2011

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0904.3848

zbMATH Keywords

Morita equivalencesMorita contextssemigroups with local unitscategories of actsCauchy completionsjoint enlargements

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Regular semigroups (20M17) Connections of semigroups with homological algebra and category theory (20M50) Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40)

Related Items (30)

Morita Equivalence of Semigroups with Locally Commuting Idempotents ⋮ Fair semigroups and Morita equivalence ⋮ Morita equivalence of semigroups revisited: firm semigroups ⋮ Flatness properties of acts over semigroups ⋮ Semigroups strongly Morita equivalent to monoids ⋮ Globalization of partial actions of semigroups ⋮ Enlargements of quantales ⋮ Proper Ehresmann semigroups ⋮ Perfection for semigroups ⋮ The Schützenberger category of a semigroup. ⋮ Morita invariants for semigroups with local units. ⋮ Strong Morita equivalence of semigroups with local units. ⋮ Strong Morita equivalence for ordered semigroups with local units ⋮ Graded semigroups ⋮ Acceptable Morita contexts for semigroups. ⋮ Unnamed Item ⋮ Rees matrix covers for a class of locallyU-commutative semigroups ⋮ Morita equivalence of inverse semigroups. ⋮ The structure of generalized inverse semigroups. ⋮ Conditions for strong Morita equivalence of partially ordered semigroups ⋮ Morita-like equivalence for fair semigroups ⋮ Context equivalence of semigroups. ⋮ A tribute to John B. Fountain ⋮ Characterizations of Morita equivalent inverse semigroups. ⋮ Morita equivalence of finite semigroups ⋮ A categorical invariant of flow equivalence of shifts ⋮ On the homological classification of semigroups with local units ⋮ Wide right Morita contexts in lax-unital bicategories ⋮ Morita equivalence of factorizable semigroups ⋮ Enlargements of rings

Cites Work

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• Functors into categories of M-sets
• Strong Morita Equivalence of Inverse Semigroups
• Rees Matrix Covers for Locally Inverse Semigroups
• Enlargements of regular semigroups
• Morita equivalence for rings with local units
• STRONG MORITA EQUIVALENCE AND THE SYNTHESIS THEOREM
• A characterisation of a class of semigroups with locally commuting idempotents
• Morita equivalence for factorisable semigroups
• On torsionless and dense acts

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