9th International Conference on Soft Computing, Mathematics and Control (SMC 2025)
July 25 ~ 26, 2025, Virtual Conference
Accepted Papers
New Pointwise Biprojectivity as an Extension of Banach Algebras
M Ghorbani, D.E. Bagha, Department of Mathematics, Central Tehran Branch, Islamic Azad university, Tehran, Iran
ABSTRACT
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.