cited. In this paper, we study an approximate bifatness of l 1(S), where S is a Cliford semigroup. Indeed, we show that a Cliford semigroup algebra l 1(S) is approximately bifat if and only if every maximal subgroup of S is amenable, E(S) is locally fnite, and l 1(S) has an approximate identity in c00(S). Moreover, we prove that l 1(S) is approximately bifat if and only if each maximal subgroup of S is amenable for an inverse semigroup S such that E(S), the set of its idempotent elements, is totally ordered and locally fnite.
