In this paper we introduce the notion of module character amenable Banach algebras and
show that they possess module character virtual (approximate) diagonals. As a basic …

In this paper, we study the hereditary properties of module (𝜙, 𝜑)-amenability on Banach
algebras. We also define the concept of module character contractibility for Banach algebras …

In the present paper, we introduce a new notion of weak moduleamenability for Banach
algebras which is related to module homomorphisms. Among other results, we investigate …

The notions of module pseudo-amenable and module pseudo-contractible Banach algebras
are introduced. For a Banach algebra with bounded approximate identity, module pseudo …

For every inverse semigroup S with subsemigroup E of idempotents, necessary and
sufficient conditions are obtained for the weighted semigroup algebra $ l^ 1 (S,{\omega}) …

σ-symmetric amenability of Banach algebras Skip to content Should you have institutional
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The generalized notion of weak amenability, namely $(\varphi,\psi) $-weak amenability,
where $\varphi,\psi $ are continuous homomorphisms on a Banach algebra ${\mathcal A} …

In this paper, the module (φ, ϕ)-amenable Banach algebras are characterized. Also, the
relations of module (φ, ϕ)-amenability of a Banach algebra and their ideals are studied …

The (bounded) approximate version of module character contractibility of Banach algebras
is introduced and studied. This new concept is characterized by several different concepts …

The bounded version of approximate module character amenability of Banach algebras is
introduced and studied. This new concept is characterized by several different concepts …