Module amenability, module character biprojectivity and module character biflatness of lau product of two Banach algebras

Abstract

Let A be a Banach algebra and T be an A-module homomorphism from A-bimodule B into A-bimodule A. We investigate module amenability (resp. module approximate amenability), module character amenability (resp. module character approximate amenability), module character biprojectivity and module character biflatness of A × T A B for every two Banach A-bimodule A and B.