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- W2804869168 abstract "The introduction of w-operation in the class of flat modules has been successful. Let R be a ring. An R-module M is called a w-flat module if [Formula: see text] is GV-torsion for all R-modules N. In this paper, we introduce the w-operation in Gorenstein homological algebra. An R-module M is called Ding w-flat if there exists an exact sequence of projective R-modules … → P 1 → P 0 → P 0 → P 1 → … such that M ≅ Im(P 0 → P 0 ) and such that the functor Hom R (−, F) leaves the sequence exact whenever F is w-flat. Several wellknown classes of rings are characterized in terms of Ding w-flat modules. Some examples are given to show that Ding w-flat modules lie strictly between projective modules and Gorenstein projective modules. The Ding w-flat dimension (of modules and rings) and the existence of Ding w-flat precovers are also studied." @default.
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- W2804869168 date "2018-05-22" @default.
- W2804869168 modified "2023-09-27" @default.
- W2804869168 title "Ding w-Flat Modules and Dimensions" @default.
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- W2804869168 doi "https://doi.org/10.1142/s1005386718000147" @default.
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