MORITA EQUIVALENCE OF SEMIGROUPS WITH LOCAL UNITS

By Mark V. Lawson. 2009

51 citations recorded by the source corpus.

Abstract We prove that two semigroups with local units are Morita equivalent if and only if they have a joint enlargement. This approach to Morita theory provides a natural framework for understanding McAlister’s theory of the local structure of regular semigroups. In particular, we prove that a semigroup with local units is Morita equivalent to an inverse semigroup precisely when it is a regular locally inverse semigroup.

Subfields: Algebra and Number Theory, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/6bafeb7c936859f4b5cdf4ed024354fa1d404b64