On character projectivity Of Banach modules

Document Type: Research Articles

Authors

Mathematics Department, Faculty of science, Urmia university, Urmia, Iran

10.22080/cjms.2020.17180.1428

Abstract

Let $A$ be a Banach algebra, $\Omega(A)$ be the character space of $A$ and $\alpha\in\Omega(A)$. In this paper, we examine the characteristics of $\alpha$-projective (injective) $A$-modules and demonstrate that these character-based $A$-modules also satisfy well-known classical homological properties on Banach $A$-modules.

Keywords