Congruence-free inverse semigroups with zero
1975 ◽
Vol 20
(1)
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pp. 110-114
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A semigroup is said to be congruence-free if it has only two congruences, the identity congruence and the universal congruence. It is almost immediate that a congruence-free semigroup of order greater than two must either be simple or 0-simple. In this paper we describe the semilattices of congruence-free inverse semi-groups with zero. Further, congruence-free inverse semigroups with zero are characterized in terms of partial isomorphisms of their semilattices. A general discussion of congruence-free inverse semigroups, with and without zero, is given by Munn (to appear).
1991 ◽
Vol 33
(3)
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pp. 373-387
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2011 ◽
Vol 54
(3)
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pp. 411-421
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1979 ◽
Vol 30
(3)
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pp. 301-314
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1993 ◽
Vol 03
(03)
◽
pp. 335-347
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1993 ◽
Vol 36
(1)
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pp. 49-54
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