On character projectivity Of Banach modules

Document Type : Research Articles

Authors

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

Abstract

Let

A

be a Banach algebra,

Ω (A)

be the character space of

A

and

α \in Ω (A)

. In this paper, we examine the characteristics of

α

-projective (injective)

A

-modules and demonstrate that these character-based

A

-modules also satisfy well-known classical homological properties on Banach

A

-modules.

Keywords