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n-Strongly Gorenstein Projective,Injective and Flat Modules
Authors:Guoqiang Zhao
Institution:Department of Mathematics , Nanjing University , Nanjing, Jiangsu Province, China
Abstract:In this article, we study the relation between m-strongly Gorenstein projective (resp., injective) modules and n-strongly Gorenstein projective (resp., injective) modules whenever m ≠ n, and the homological behavior of n-strongly Gorenstein projective (resp., injective) modules. We introduce the notion of n-strongly Gorenstein flat modules. Then we study the homological behavior of n-strongly Gorenstein flat modules, and the relation between these modules and n-strongly Gorenstein projective (resp., injective) modules.
Keywords:n-Strongly Gorenstein flat modules  n-Strongly Gorenstein injective modules  n-Strongly Gorenstein projective modules
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