… the Gorenstein projective modules over a commutative ring R yields exactly the Gorenstein
projective modules… Assume that R is noetherian and C is a semidualizing R-module. A finitely …

… modules. As a first example of what can be gained from our characterization of modules of
finite Gorenstein … We prove that the modules in A(R) are precisely those of finite Gorenstein pro…

… presented modules might be an important tool in the Gorenstein homological … semidualizing
R-module C. Also, we introduce the notion of relative FP-flat modules and weak flat modules …

… Recently, Gorenstein dimensions relative to a semidualizing module have been the
subject … by defining Gorenstein categories relative to two classes of objects ( ( X , Y ) -Gorenstein …

… We introduce the right (left) Gorenstein subcategory relative to an additive subcategory C of
… consisting of Gorenstein injective modules. (2) Let R, S be rings and RCS a semidualizing (R…

… By Remark 2.2, a filtered colimit of Gorenstein flat modules is Gorenstein flat, so it remains
to see that the modules V − 1 M are Gorenstein flat. For any V ∈ V , the module V − 1 M can …

… and Relative Homology In this section, C is a semidualizing R-module, and M and N are
R-modules. … AB-contexts and stability for Gorenstein flat modules with respect to semidualizing …

… However, as in the case of semidualizing modules [4], later in this section (Theorem 2.11) we
… In this section, we give the relations between these relative Gorenstein dimensions and the …

… modules as tools for investigating co homology theories in algebraic geometry. In this paper,
we investigate semi dualizing modules and associated relative … over a Gorenstein local ring. …

… One of generalizations is Gorenstein modules with respect to a semidualizing module. As a
… notions of semidualizing modules and Holm and Jørgensen’s C-Gorenstein projective mod…