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On Strongly Gorenstein FP-Injective Modules
Authors:Zenghui Gao
Affiliation:1. College of Mathematics , Chengdu University of Information Technology , Sichuan , China gaozenghui@cuit.edu.cn
Abstract:This article continues to investigate a particular case of Gorenstein FP-injective modules, called strongly Gorenstein FP-injective modules. Some examples are given to show that strongly Gorenstein FP-injective modules lie strictly between FP-injective modules and Gorenstein FP-injective modules. Various results are developed, many extending known results in [1 Bennis , D. , Mahdou , N. ( 2007 ). Strongly Gorenstein projective, injective, and flat modules . J. Pure Appl. Algebra 210 : 437445 .[Crossref], [Web of Science ®] [Google Scholar]]. We also characterize FC rings in terms of strongly Gorenstein FP-injective, projective, and flat modules.
Keywords:Coherent ring  FC ring  Strongly Gorenstein FP-injective module  Strongly Gorenstein flat module  n-Gorenstein ring
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