In this paper, some homological notions of Banach A-modules such as ϕinjectivity, 0-
injectivity and character injectivity are discussed, where ϕ is a non-zero multiplicative linear …

In this paper, we study the notion of $\phi $-injectivity in the special case that $\phi= 0$. For
an arbitrary locally compact group $ G $, we characterize the 0-injectivity of $ L^{1}(G) $ as a …

Let be a Banach algebra and let φ be a non-zero character on. We introduce and study the
notions φ-injectivity and φ-projectivity for Banach-modules ℰ by modifying the injectivity and …

Let 𝓐 be a Banach algebra and let ϕ be a nonzero character on 𝓐. We give some necessary
and sufficient conditions for the left ϕ-contractibility of 𝓐 as well as several hereditary …

Let A be a Banach algebra and let ϕ be a nonzero character on A. For a locally compact
group G, let the group algebra L 1 (G) be a closed two-sided ideal in A. In this paper, we aim …

Approximately Injectivity for Banach modules Page 1 www.SID.ir Archive of SID Mathematical
Sciences Vol. 5, No. 4 (2011) 369-380 Approximately Injectivity for Banach modules Amin …

Let X be a compact Hausdorff space, and let {Ax: x∈ X} and {Bx: x∈ X} be collections of
Banach algebras such that each Ax is a Bx-bimodule. Using the theory of bundles of Banach …

In this paper, we investigate the notion $\phi $-injectivity for Banach $ A $-modules, where
$\phi $ is a character on $ A. $ We obtain some hereditary properties of $\phi $-injectivity for …

Let G be a locally compact group and H be a compact subgroup of G. The aim of this paper
is to characterize some homological properties of L1 (G/H), C0 (G/H) and M (G/H) as left …

This thesis is concerned with Banach spaces which are modules over Banach algebras. If A
is a Banach algebra, then by a left (right) Banach A-module we mean a Banach space, V …