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arXiv · 0904.3848

Morita equivalence of semigroups with local units

Mark V. Lawson
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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.

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Mark V. Lawson. 2010-03-29. Morita equivalence of semigroups with local units. https://arxiv.org/abs/0904.3848

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