Geodesic
Congruences of strongly Morita equivalent posemigroups
Acta mathematica Universitatis Comenianae, Tome 81 (2012) no. 2, pp. 247-254 
T. Tärgla; V. Laan; T. Tärgla; V. Laan. Congruences of strongly Morita equivalent posemigroups. Acta mathematica Universitatis Comenianae, Tome 81 (2012) no. 2, pp. 247-254. http://geodesic.mathdoc.fr/item/AMUC_2012_81_2_a12/
@article{AMUC_2012_81_2_a12,
     author = {T. T\"argla and V. Laan and T. T\"argla and V. Laan},
     title = { Congruences of strongly {Morita} equivalent posemigroups},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {247--254},
     year = {2012},
     volume = {81},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2012_81_2_a12/}
}
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Voir la notice de l'article provenant de la source Comenius University

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