Some Aspects of Strongly P-projective Modules and Homological Dimensions

摘要

A left R-module M is called strongly P-projective if Ext~i(M, P) = 0 for all projective left R-modules P and all i ≥ 1. In this article, we first discuss properties of strongly P-projective modules. Then we introduce and study the strongly P-projective dimensions of modules and rings. The relations between the strongly P-projective dimension and other homological dimensions are also investigated.