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Boolean Congruence Lattices of Orthodox Semigroups

Published online by Cambridge University Press:  20 November 2018

Karl Auinger
Karl Auinger*
Affiliation:
Institut für Mathematik Universität WienStrudlhofgasse 4 A-1090 Wien Austria
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The problem of characterizing the semigroups with Boolean congruence lattices has been solved for several classes of semigroups. Hamilton [9] and the author of this paper [1] studied the question for semilattices. Hamilton and Nordahl [10] considered commutative semigroups, Fountain and Lockley [7,8] solved the problem for Clifford semigroups and idempotent semigroups, in [1] the author generalized their results to completely regular semigroups. Finally, Zhitomirskiy [19] studied the question for inverse semigroups.

Keywords

20M1008A30
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 43 , Issue 2 , 01 April 1991 , pp. 225 - 241
Copyright
Copyright © Canadian Mathematical Society 1991

References

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