Hülya İnceboz, Berna Arslan abstract: In recent years, lots of papers have been published
on module amenability. In this paper, our main aim is to study the homological properties of …

In this paper, the commutative module amenable Banach algebras are characterized. The
hereditary and permanence properties of module amenability and the relations between …

In this paper we compare the notions of (weak) amenability and (weak) module amenability
of Banach algebras which are Banach modules over another Banach algebras with …

In this note we investigate ℵ0-injectivity of rings and modules and review the literature
around this topic. We observe that several characterizations of rings by injectivity can be …

We characterize projective and injective Banach modules in approximate terms,
generalizing thereby a characterization of contractible Banach algebras given by F …

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 …

Let G be a finite group, and let H be a subgroup of G. The restriction functor Wt W, which
assigns to any G-module (equivalently, representation of G), W, the corresponding H …

Let $ G $ be a locally compact group. In this paper, we study various invariant subspaces of
the duals of the algebras $ A_M (G) $ and $ A_ {cb}(G) $ obtained by taking the closure of …

In mathematics, we often come across finite dimensional vector spaces and finitely
generated abelian groups. These are natural examples of finitely generated modules. The …

Provides characterizations and some properties of quasi finitely injective modules.
Discussion on finitely injectivity; Computations on quasi-finite injectivity.