Let epsilon be an injectively resolving subcategory of left R-modules. We introduce and study epsilon-Gorenstein flat modules as a common generalization of some known modules such as Gorenstein flat modules (Enochs, Jenda and Torrecillas, 1993), Gorenstein AC-flat modules (Bravo, Estrada and lacob, 2018). Then we define a resolution dimension relative to the epsilon-Gorensteinflat modules, investigate the properties of the homological dimension and unify some important properties possessed by some known homological dimensions. In addition, stability of the category of epsilon-Gorensteinflat modules is discussed, and some known results are obtained as applications.
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