Inspired by Bouchiba’s work on generalized Gorenstein flat modules,we introduce the generalized(F,A)-Gorenstein flat modules in this paper.By defining generalizedA-complete flat resolution,a new measure of the dimens...Inspired by Bouchiba’s work on generalized Gorenstein flat modules,we introduce the generalized(F,A)-Gorenstein flat modules in this paper.By defining generalizedA-complete flat resolution,a new measure of the dimension of generalized(F,A)-Gorenstein flat modules is given.When(⊥1,)AAis a complete cotorsion pair,R is a right coherent ring andAcontains injective right R-modules,it is proved that for each M with finite flat dimension,the generalized(F,A)-Gorenstein flat dimension of M is equal to the(F,A)-Gorenstein flat dimension of M.展开更多
基金supported by NSF of Guangxi Province of China(Grant No.2020GXNSFAA159120).
文摘Inspired by Bouchiba’s work on generalized Gorenstein flat modules,we introduce the generalized(F,A)-Gorenstein flat modules in this paper.By defining generalizedA-complete flat resolution,a new measure of the dimension of generalized(F,A)-Gorenstein flat modules is given.When(⊥1,)AAis a complete cotorsion pair,R is a right coherent ring andAcontains injective right R-modules,it is proved that for each M with finite flat dimension,the generalized(F,A)-Gorenstein flat dimension of M is equal to the(F,A)-Gorenstein flat dimension of M.
