Heriot-Watt Mathematics Report Series
HWM09-2, 24 Apr 2009
Morita equivalence of semigroups with local units
M V Lawson
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.
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