Covers and preenvelopes by V -Gorenstein flat modules

Abstract

: In this paper, we introduce and study V -Gorenstein flat modules and show the stability of the category of V -Gorenstein flat modules. We investigate the existence of V -Gorenstein flat covers and V -Gorenstein flat preenvelopes for any left R-module. Also we prove that (V -GF, V -GF⊥) is a perfect hereditary cotorsion pair in B l (R), where V -GF stands the class of V -Gorenstein flat left R-modules and B l (R) is the left Bass class. Some applications are given.