Congruences on regular semigroups |
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| Authors: | John Meakin |
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| Institution: | (1) Department of Mathematics, University of Florida, 205 Walker Hall, 32601 Gainesville, Florida, USA |
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| Abstract: | The kernel of a congruence on a regular semigroup S may be characterized as a set of subsets of S which satisfy the Teissier-Vagner-Preston
conditions. A simple construction of the unique congruence associated with such a set is obtained. A more useful characterization
of the kernel of a congruence on an orthodox semigroup (a regular semigroup whose idempotents form a subsemigroup) is provided,
and the minimal group congruence on an orthodox semigroup is determined. |
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