… , then S is amenable and regular. We also show that the left character amenability of the
semigroup algebra ℓ1(S) on a Brandt semigroup S over a group G with index set J is equivalent …

… The purpose of this article is to develop a notion of character amenability for semigroup
algebras. The main results concern the χ-amenability of Ma(S). We give necessary and sufficient …

… algebras. In Chapter 2, we shall discuss these properties for the semigroup algebra l1(S) of
a semigroup S. In … idempotents, l1(S) is approximately amenable if and only if it is amenable. …

… To see the presented results of character amenability of semigroup algebras we refer to [12,
13]. In … character amenability of the semigroup algebra l1(S) in relation to the semigroup S. …

… study character amenability of semi-group algebras ℓ1(S) and weighted semi-group algebras
… (left) zero semigroup, rectangular band semi-group, band semi-group and uniformly locally …

… character amenability results around the general Banach algebras and Banach algebras in
… The notion of amenability of groups was first defined for discrete locally compact groups by …

… character amenability for the semigroup algebra \(M_a(S)\), where S is a foundation
semigroup … between \(\phi\)-amenability on S with the essential character amenability of \(M_a(S)\). …

… ] a Banach algebra is called right character amenable if it is ϕ-amenable for each character
ϕ … group G (respectively, a discrete semigroup S), the group algebra L1(G) (respectively, the …

… -approximate character amenability and approximate character … character amenability of
several Banach algebras related to locally compact groups and some discrete semigroups. …

… of character amenable Banach algebras. We prove that character amenability for either
of the group algebra L1(G) or the Fourier algebra A(G) is equivalent to the amenability of the …