Chen, Dong; Hu, Kui Gorenstein \(F{P_n}\)-injective and Gorenstein \(F{P_n}\)-flat modules. (Chinese. English summary) Zbl 1449.16006 J. Sichuan Norm. Univ., Nat. Sci. 42, No. 5, 674-677 (2019). Summary: The concepts of Gorenstein \(F{P_n}\)-injective modules and Gorenstein \(F{P_n}\)-flat modules are introduced. We study the basic properties of these two classes of modules firstly and then discuss the \(F{P_n}\)-injective dimension of Gorenstein \(F{P_n}\)-injective modules and the structures of Gorenstein \(F{P_n}\)-injective modules over an \(n\)-coherent ring. Finally, the conditions under which each \(R\)-module is a Gorenstein \(F{P_n}\)-injective module are given. MSC: 16D40 Free, projective, and flat modules and ideals in associative algebras 16D50 Injective modules, self-injective associative rings 16E10 Homological dimension in associative algebras Keywords:Gorenstein \(F{P_n}\)-injective modules; \(n\)-coherent rings; structure of modules; injective cover PDFBibTeX XMLCite \textit{D. Chen} and \textit{K. Hu}, J. Sichuan Norm. Univ., Nat. Sci. 42, No. 5, 674--677 (2019; Zbl 1449.16006) Full Text: DOI