Characterizations of Morita equivalent inverse semigroups.

DOI10.1016/j.jpaa.2011.02.015zbMath1229.20064arXiv0906.0855OpenAlexW2063791259MaRDI QIDQ538080

Benjamin Steinberg, Mark V. Lawson, Jonathon Funk

Publication date: 23 May 2011

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

Full work available at URL: https://arxiv.org/abs/0906.0855

zbMATH Keywords

Morita equivalencesinverse semigroupscategories of actscategories of actionsCauchy completionsjoint enlargements

Mathematics Subject Classification ID

Topoi (18B25) Inverse semigroups (20M18) Connections of semigroups with homological algebra and category theory (20M50) Representation of semigroups; actions of semigroups on sets (20M30) Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40)

Related Items (14)

The principal bundles over an inverse semigroup ⋮ Morita equivalence of semigroups revisited: firm semigroups ⋮ Toposes for semigroups: an invitation ⋮ Morita equivalence of semigroups with local units. ⋮ The Schützenberger category of a semigroup. ⋮ Graded semigroups ⋮ Generalized heaps, inverse semigroups and Morita equivalence. ⋮ Morita equivalence of inverse semigroups. ⋮ A DUALIZING OBJECT APPROACH TO NONCOMMUTATIVE STONE DUALITY ⋮ Locally anisotropic toposes ⋮ Equivalent groupoids have Morita equivalent Steinberg algebras. ⋮ A categorical invariant of flow equivalence of shifts ⋮ Functoriality of groupoid quantales. II ⋮ Morita equivalence of pseudogroups

Cites Work

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• Morita equivalence for rings without identity
• Morita equivalence of semigroups with local units.
• Congruences on ordered groupoids
• The universal covering of an inverse semigroup.
• Sheaves in geometry and logic: a first introduction to topos theory
• Categories of actions and Morita equivalence
• Strong Morita equivalence and a generalisation of the Rees theorem
• Enlargements and coverings by Rees matrix semigroups
• Semigroups and toposes
• Projectivity of acts and Morita equivalence of monoids
• Functors into categories of M-sets
• Strong Morita Equivalence of Inverse Semigroups
• Enlargements of regular semigroups
• Morita equivalence for rings with local units
• Almost factorisable inverse semigroups
• STRONG MORITA EQUIVALENCE AND THE SYNTHESIS THEOREM
• Isometries Between B ∗ -Algebras
• Cohomology of inverse semigroups

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