SOME ASPECTS OF STRONGLY P-PROJECTIVE MODULES AND HOMOLOGICAL DIMENSIONS

作者：Mao Lixin^*

来源：Communications in Algebra, 2013, 41(1): 19-33.

DOI：10.1080/00927872.2011.615874

• Gorenstein projective modules
• Precover
• Preenvelope
• Strongly P-projective module
• Strongly P-projective dimension
• Weakly Gorenstein flat module.

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.

• 出版日期2013-1-31
• 单位南京工程学院