On Copure Projective Modules and Copure Projective Dimensions |
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| Authors: | Xianhui Fu Haiyan Zhu Nanqing Ding |
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| Institution: | 1. School of Mathematics and Statistics , Northeast Normal University , Changchun , China fuxianhui@gmail.com;3. Department of Mathematics , Zhejiang University of Technology , Hangzhou , China;4. Department of Mathematics , Nanjing University , Nanjing , China |
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| Abstract: | Let R be any ring. A right R-module M is called n-copure projective if Ext1(M, N) = 0 for any right R-module N with fd(N) ≤ n, and M is said to be strongly copure projective if Ext i (M, F) = 0 for all flat right R-modules F and all i ≥ 1. In this article, firstly, we present some general properties of n-copure projective modules and strongly copure projective modules. Then we define and investigate copure projective dimensions of modules and rings. Finally, more properties and applications of n-copure projective modules, strongly copure projective modules and copure projective dimensions are given over coherent rings with finite self-FP-injective dimension. |
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| Keywords: | Copure projective dimension n-Copure projective module (Pre)Cover (Pre)Envelope Strongly copure projective module |
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