Samaneh Javadi - Department of Mathematics, University of Semnan, Semnan, Iran
Ali Ghaffari - Department of Mathematics, University of Semnan, Semnan, Iran

Generalizing the notion of Connes amenability for LM(A, P, m, n), we study Φ- Connes amenability of LM(A, P, m, n) that Φ is a character on LM(A, P, m, n). Among the other things, we study when Φ- Connes amenability of LM(A, P, m, n) is equivalent to φ- Connes amenability of A where φ is the unique character on A associated to Φ. We apply this results to semigroup algebras.

Amenability, Derivation, Invariant mean