Strong Morita equivalence of semigroups with local units.

DOI10.1016/J.JPAA.2011.02.017zbMath1237.20057OpenAlexW2152661286MaRDI QIDQ635470

Valdis Laan, László Márki

Publication date: 19 August 2011

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

Full work available at URL: https://doi.org/10.1016/j.jpaa.2011.02.017

zbMATH Keywords

idempotentsMorita equivalencessemigroups with local unitsactsRees matrix semigroupsbiactsMorita semigroupsunitary Morita contexts

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Mappings of semigroups (20M15) Connections of semigroups with homological algebra and category theory (20M50) Representation of semigroups; actions of semigroups on sets (20M30)

Related Items (14)

Morita Equivalence of Semigroups with Locally Commuting Idempotents ⋮ Fair semigroups and Morita equivalence ⋮ Morita equivalence of semigroups revisited: firm semigroups ⋮ Semigroups strongly Morita equivalent to monoids ⋮ Tensor product rings and Rees matrix rings ⋮ Morita invariants for semigroups with local units. ⋮ Acceptable Morita contexts for semigroups. ⋮ Rees matrix covers for a class of locallyU-commutative semigroups ⋮ Conditions for strong Morita equivalence of partially ordered semigroups ⋮ Lattices and quantales of ideals of semigroups and their preservation under Morita contexts ⋮ Morita-like equivalence for fair semigroups ⋮ Context equivalence of semigroups. ⋮ On the homological classification of semigroups with local units ⋮ Morita equivalence of factorizable semigroups

Cites Work

• Context equivalence of semigroups.
• Morita equivalence for rings without identity
• Morita equivalence of semigroups with local units.
• Morita equivalence for idempotent rings
• Strong Morita equivalence and a generalisation of the Rees theorem
• Enlargements and coverings by Rees matrix semigroups
• Morita equivalence for rings with local units
• STRONG MORITA EQUIVALENCE AND THE SYNTHESIS THEOREM
• Morita equivalence for factorisable semigroups
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