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 L1(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 definition similar to pointwise projective and pointwise biprojective in extension of banach algebras.the srveral instructures, we proof that almost every where, banach algebras satisfyes another situations. In 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 it dos not apply to the conditions mentioned in this article.