Action of projections on Banach algebras

Let A be a Banach algebra and n > 1, a fixed integer. The main objective of this paper is to talk about the commutativity of Banach algebras via its projections. Precisely, we prove that if A is a prime Banach algebra admitting a continuous projection P with image in Z(A) such that P(an) = an for all a is an element of G, the nonvoid open subset of A, then A is commutative and P is the identity mapping on A. Apart from proving some other results, as an application we prove that, a normed algebra is commutative iff the interior of its center is non-empty. Furthermore, we provide some examples to show that the assumed restrictions cannot be relaxed. Finally, we conclude our paper with a direction for further research.