Abstract
A left R-module M is called strongly P-projective if Exti(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.
ACKNOWLEDGMENTS
This research was supported by NSFC (11071111, 11171149), NSF of Jiangsu Province of China (BK2011068), Jiangsu 333 Project, Jiangsu Qinglan Project, Jiangsu Six Major Talents Peak Project. The author would like to thank the referee for his/her nice comments about this article.
Notes
Communicated by Q. Wu.