Congruences on *-Simple Type A I-Semigroups
Keywords:Type A I-semigroup, *-locally idempotent-separating, cancellative monoid congruence, generalized Bruck-Reilly *-extensions
This paper obtains a characterisation of the congruences on *-simple type A I-semigroups. The *-locally idempotent-separating congruences, strictly *-locally idempotent-separating congruences and minimum cancellative monoid congruences, are characterised.
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