… Gorenstein cotorsion modules which are also Gorenstein flat … be the kernels of Gorenstein
flat covers of integral group rings of … envelope we see that CZ(T ) ⊂ CZG(T ) is also a cotorsion …

… the general theory of envelopes and covers, and then … flat covers and minimal flat resolutions.
Using a vanishing property of the dual Bass numbers, we introduce the strongly cotorsion …

… a cotorsion envelope and a flat cover. The corresponding results are also true if we consider
S-cotorsion and S-flat … Here we have the corresponding result for S-cotorsion envelopes. …

… for cotorsion pairs, in dealing with projective dimension 1 covers and divisible envelopes we
… P1, D) consisting of the corresponding classes is a cotorsion pair. This pair is known to be a …

… cover or a  n -envelope (n ≥ 1) although every right R-module has a flat cover and a cotorsion
envelope… R-module has an ℱ n -cover and a  n -envelope by Theorem 3.9 and Enochs …

… cotorsion modules and strongly torsionfree modules, we introduce the notions of n-(Gorenstein)
cotorsion … modules and left n-(Gorenstein) cotorsion modules. Let R and S be rings and …

… have flat covers and cotorsion envelopes, we show that the pair (Cp(FlatX), C(dg-CofX)) is a
complete cotorsion … if and only if every flat complex of cotorsion modules is contractible; see …

… this is equivalent to the flat cover being the phantom cover. The … to the subcategory of cotorsion
modules. This restriction is full … that the cotorsion envelope of a flat module is itself flat [29, …

… max-cotorsion if \({\text {Ext}}^{1}_{R}(A,B)=0\) for any max-flat right … -flat and max-cotorsion
modules. We prove that every right module has a max-flat cover and max-cotorsion envelope. …

… a P-cover. Additionally, once we know that the flat cotorsion pair (F, C) is in fact a cotorsion
pair and is complete, then we know that every module admits a F-cover. This was one of the …