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

… -injectivity, character injectivity and injectivity are different. Moreover, we concentrate on
character injectivity of some classes of Banach modules … of injectivity and character injectivity are …

… on a character of a Banach algebra A and they showed that … injective (projective, flat) Banach
module is a character injective (character projective, character flat respectively) module but …

… φ-injectivity for Banach A-modules, where φ is a character on … φ-injectivity for certain classes
of Banach modules related to … φ-injectivity of certain Banach A-modules in commutative case…

… of an injective Banach space to the case of Banach modules. As in the algebraio caee a
projective module is a … For a continuous character q of G we define the Al(G)-module Q, as the …

… Let A be a Banach algebra, Ω(A) be the character space of A … the characteristics of α-projective
(injective) A-modules and … , injectivity and flatness) of Banach modules and Banach …

… We also study relations between the injectivity of Banach left A-modules and right φ-… the left
character amenability of certain real Banach algebras. Keywords: Banach algebra, Character …

… We start with the definition of a dual Banach module: … To make its proof more transparent,
we introduce new notation: Given a dual Banach algebra 21 and a left Banach 2l-module E, we …

… some general results about injective Banach modules. • In … Here we show that the injectivity
of certain modules over l1(S… (i) Let A be a Banach algebra with a character ϕ, and let I be …

… Banach A-bimodule X with the left module action a · x = φ(a)x (a ∈ A, x ∈ X) (and no restriction
on the right module … homomorphism from G into bG is injective, it follows that G is finite. …