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Morita equivalence of inverse semigroups |
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| Authors: | B. Afara M. V. Lawson |
| Affiliation: | 1. Department of Mathematics, Heriot-Watt University Riccarton, Edinburgh, EH14 4AS, Scotland 2. Department of Mathematics and the Maxwell Institute for Mathematical Sciences, Heriot-Watt University, Riccarton, Edinburgh, EH14 4AS, Scotland |
| Abstract: | We describe how to construct all inverse semigroups Morita equivalent to a given inverse semigroup S. This is done by taking the maximum inverse images of the regular Rees matrix semigroups over S where the sandwich matrix satisfies what we call the McAlister conditions. |
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