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Congruences of strongly Morita equivalent posemigroups
T. Tärgla and V. Laan
Received: February 8, 2012; Revised: May 7, 2012; Accepted: May 9, 2012
Abstract. 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.
Keywords: Posemigroup; Morita equivalence; congruence lattice.
AMS Subject classification: Primary: 06F05
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