Ebrahim Tamimi - Velayat University
Ali Ghaffari - Semnan University

Let A and B be Banach algebras with preduals A∗ and B∗ respectively, and Θ : B → A be an algebraic homomorphism. In this paper, we derive some specific results concerning the characterizations of module Connes amenability of certain Banach algebras. Indeed, we investigate and give necessary and sufficient conditions for module Connes amenability of projective tensor product Ab⊗B. Moreover, we characterize the module (ψ, θ)- Connes amenability of Θ-Lau product A×Θ B, which ψ and θ are homomorphisms in A∗ and B∗, respectively.

module Connes amenability, invariant mean, module φ-derivation, projective tensor product, Θ-Lau produt