p. 247 - 254 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 PDF Compressed Postscript Version to read ISSN 0862-9544 (Printed edition) Faculty of Mathematics, Physics and Informatics Comenius University 842 48 Bratislava, Slovak Republic Telephone: + 421-2-60295111 Fax: + 421-2-65425882 e-Mail: amuc@fmph.uniba.sk Internet: www.iam.fmph.uniba.sk/amuc © 2011, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE |