… The class of IC abundant semigroups with commuting idempotents is precisely the class of
type A semigroups. A homomorphic image of an abundant semigroup need not be abundant …

… [19] prove that any regular semigroup which is locally inverse … that any abundant semigroup
with an ample multiplicative … If S is idempotentconnected (as defined in [8]) and 〈E〉 is a …

… We consider weakly U-abundant semigroups, where U is a subset of idempotents of a … the
weak idempotent connected condition (WIC), that coincides with (IC) for abundant semigroups, …

… The class of idempotent connected (IC) abundant semigroups was introduced by El-Qallali
and Fountain [11]. We begin this section with an alternative characterisation of these …

… Here we consider weakly U-abundant semigroups, where U is a subset of idempotents of a
… The aim of this paper is to remove the idempotent connected condition from the results of [4, 5…

… abundant semigroups. In addition, we consider a type Q semigroup which is a left quasi-abundant
semigroup … This condition is named idempotent-connected condition (for brevity, IC). In …

… U-abundant semigroups, using both techniques developed for regular and abundant semigroups,
and … for the lack of an idempotent connected condition and the fact on semigroups are …

… analogues of orthodox semigroups in the abundant semigroup … R∗-unipotent semigroup is
an abundant semigroup S in which … semigroup and that of its left regular band of idempotents. …

… abundant semigroups were first investigated by Lawson [Citation15] where he proved for the
natural partial order relation η defined on an idempotent-connected abundant semigroup S (…

… We find that the *-trace of an abundant semigroup has the … , for abundant semigroups. We
then find conditions which are satisfied by the structure mappings of an abundant semigroup, …