NEW POINTWISE BIPROJECTIVITY AS AN EXTENSION OF BANACH ALGEBRAS

In the present paper, we study the Pointwise Biprojectibility of Banach Algebras. We indicate that a Pointwise Biprojective Banach Algebra is a super-amenable if and only if it has an identity. In addition, we investigate other Pointwise Biprojective properties including, the relationship between Pointwise Biprojectibility and amenability for Banach Algebras. We also maintain what kind of relationship is between Pointwise Biprojectibility L'(G) and G. Finally, we define the concept of Pointwise projecttibility and investigate the relationship between Pointwise Projevtibility and Pointwise Biprojectibility. We consider any conditions for proof that biprojective and projective are two definitions similar to pointwise projective and pointwise biprojective in extension of Banach algebras. In several instructures, we proof that almost everywhere, Banach algebras satisfy other situations. In the future, we will find that we can develop all theorems and lemmas of this paper for Pointwise amenability. We recommend authors show that there is a Banach algebra that does not apply to the conditions mentioned in this article.

کلیدواژه ها:

Banach Algebra ، Pointwise Biprojective ، Pointwise Projective ، Pointwise Amenable