… Motivated by these works, it is natural to arise a question that for any ring R, do all modules
have Gorenstein FI-flat covers? In this paper, we prove that the class of Gorenstein FI-flat …

… Gorenstein flat cover, every Gorenstein projective complex is Gorenstein flat, and every
Gorenstein flat complex has finite Goenstein projective dimension, then the class of Gorenstein …

… We investigate the existence of V -Gorenstein flat covers and V -Gorenstein … -Gorenstein
flat modules. In Section 3, we study the existence of V -Gorenstein flat covers and V -Gorenstein …

… pre-envelopes by strongly Gorenstein flat modules. Let SGF be the class of all strongly
Gorenstein … This result is a particular case of the following theorem by Corollaries 2.8 and 3.5(2). …

… a Gorenstein flat (pre)cover. The method we use to show that the class of Gorenstein flat …
FÀ2 3 FÀ1 3 F0 3 F1 3 F2 3ÁÁÁ with all Fi flat such that G Ker(F0 3 F1) and the sequence …

… The Foxby classes and Gorenstein projective, injective and flat modules as well as their …
and covers will be discussed. For example, we show the existence of Gorenstein flat covers in …

… 1-Gorenstein if and only if every closed submodule of a finitely generated n-TI-flat (left or
right) R-module is n-TIflat. Finally, we study weakly n-Gorenstein … of TIn-(pre)covers and TFn-…

In this paper we develop the homological properties of the $(\mathcal{L}, \mathcal{A})$-Gorenstein
flat $R$-modules $\mathcal{GF}_{(\mathcal{F}(R), \mathcal{A})}$ proposed by …

… Among other things, we show that every module has a w-FI-flat cover. We use also the …
The Gorenstein projective dimension is defined in terms of Gorenstein projective resolutions …

… E(M) is n-FI-flat for any n-FI-flat right R-module M if and only if the FFn-cover F(I) is injective
for … Then each Gorenstein injective (flat) module is m-FI-injective (m-FI-flat) module for any …