IDEMPOTENT-CONNECTED ABUNDANT SEMIGROUPS WHICH ARE DISJOINT UNIONS OF QUASI-IDEAL ADEQUATE TRANSVERSALS

ABSTRACT

The aim of this paper is to study idempotent-connected abundant semigroups which are disjoint unions of quasi-ideal adequate transversals. After obtaining some characterizations of such semigroups, we establish the structure of this class of semigroups. In addition, we also consider several special cases.