… relative Gorenstein modules with respect to such a duality pair coincide with the classical
homological modules. … a left R-module \(_RG\) is projectively coresolved Gorenstein flat [20] if …

… modules over any commutative 1-Gorenstein ring R (Example 4.1). In the particular case of a
Dedekind domain, these are the only tilting and cotilting modules … of Gorenstein flat modules…

… over a Gorenstein ring a left R-module N is Gorenstein flat if … that over commutative Gorenstein
rings the modules can be … branch of relative homological algebra that is called Gorenstein …

… Motivated by the characterization of Gorenstein projective or Gorenstein injective left T -module,
in Section 3 we characterize when a left T -module is Gorenstein flat. We prove in …

… Pérez, Model structures and relative Gorenstein flat modules and chain complexes, in:
Categorical, Homological and Combinatorial Methods in Algebra, Contemp. Math., 751, Amer. …

… Let A be a Gorenstein-projective mod ^(mod(A)) we have (G, A) = 0. Then any morphism
ted Gorenstein-projective module to A factors th Since A is left coherent and right perfect by [8] …

… properties of Gorenstein flat modules extend to the class of Gorenstein AC-flat modules; for
… Gorenstein flat modules) every Gorenstein AC-flat module is a direct summand of a strongly …

… Gorenstein projective modules over a ring R yields exactly the Gorenstein projective modules…
We also get similar results for Gorenstein flat left R-modules when R is a right coherent ring…

… As applications, we first get two model structures related to Gorenstein flat modules over
a right coherent ring. Secondly, for any non-negative integer n, we construct a cofibrantly …

… R is a Gorenstein ring with the injective envelope of R R flat, then a left R-module is Gorenstein
injective if and only if it is strongly cotorsion, and a right R-module is Gorenstein flat if and …