Let $A$ be a Banach algebra, $Omega(A)$ be the character space of $A$ and $alphainOmega(A)$. 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.
Rasoul Nasr-IsfahaniSima Soltani Renani
Fereshteh Hamidi DastjerdiSima Soltani Renani
Mahshid DashtiSima Soltani Renani