Morita equivalence of inverse semigroups

2011/04/13 by Afara, B, Lawson, M V
#FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1104.2460

Abstract

We describe how to construct all inverse semigroups Morita equivalent to a given inverse semigroup. This is done by taking the maximum inverse images of the regular Rees matrix semigroups over the inverse semigroup where the sandwich matrix satisfies what we call the McAlister conditions.

Related

• A note on Morita equivalence to graph inverse semigroups
• Strong Morita Equivalence of Inverse Semigroups
• Characterizations of Morita equivalent inverse semigroups
• Morita equivalence of semigroups with local units
• Labelled graphs as Morita equivalence invariants for a class of inverse semigroups