Gorenstein FP-Injective Dimension for Complexes |
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Authors: | Jiangsheng Hu Yuxian Geng Zhengwei Xie |
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Institution: | School of Mathematics and Physics , Jiangsu University of Technology , Changzhou , China |
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Abstract: | This article is a continuous work of 17
Hu , J. ,
Zhang , D. ( 2013 ). Weak AB-context for FP-injective modules with respect to semidualizing modules . J. Algebra Appl. 12 ( 7 ): 1350039 .Crossref], Web of Science ®] , Google Scholar]], where the coauthors introduced the notion of 𝒢-FP-injective R-modules. In this article, we define a notion of 𝒢-FP-injective dimension for complexes over left coherent rings. To investigate the relationships between 𝒢-FP-injective dimension and FP-injective dimension for complexes, the complete cohomology group bases on FP-injectives is given. |
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Keywords: | Complete cohomology FP-injective module 𝒢 -FP-injective module |
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