Some Aspects of Strongly P-projective Modules and Homological Dimensions |
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| Authors: | Lixin Mao |
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| Institution: | 1. Institute of Mathematics , Nanjing Institute of Technology , Nanjing , China maolx2@hotmail.com |
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| 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. |
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| Keywords: | Gorenstein projective modules Precover Preenvelope Strongly P-projective module Strongly P-projective dimension Weakly Gorenstein flat module |
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