Morita equivalence of semigroups with local units

Details Morita equivalence of semigroups with local units Morita equivalence of semigroups with local units

2009-04-24

arxiv.org/abs/0904.3848v2

Mathematics

Rings and Algebras

Some typos were corrected and the paper was mildly reorganized.

Scientific paper

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.

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