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Congruences of strongly Morita equivalent posemigroups

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Author(s): T. Tärgla | V. Laan

Journal: Acta Mathematica Universitatis Comenianae
ISSN 0862-9544

Volume: LXXXI;
Issue: 2;
Start page: 247;
Date: 2012;
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Keywords: Posemigroup | Morita equivalence | congruence lattice

ABSTRACT
We prove that congruence lattices of strongly Morita equivalent posemigroupswith common joint weak local units are isomorphic. Moreover, the quotientposemigroups by the congruences that correspond to each other under this isomorphism are also strongly Morita equivalent.

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