M. Eshaghi Gordji, Fereydoun Habibian, and Ali Rejali Semnan University, Semnan University, Isfahan University
Abstract : This work was intended as an attempt to introduce and investigate the Connes-amenability of module extension of dual Banach algebras. It is natural to try to study the $weak^*$-continuous derivations on the module extension of dual Banach algebras and also the weak Connes-amenability of such Banach algebras.