… R-modules where C is a semidualizing module over a commutative noetherian ring R. We
prove that the category of all GC-flat R-modules … approximations for R-modules of finite GC-flat …

… -projective modules. Then, relative to C, we introduce and study the rings over which every
submodule of a projective (flat) module is GC -projective (flat), which we call C-Gorenstein (…

… In this paper, several notions in relative Gorenstein algebra over a triangular matrix ring are
investigated. We first study how to construct w-tilting (tilting, semidualizing) over T using the …

… 1 free module and a dualizing (canonical) module, when one exists. In [Citation16], White
introduced the notion of semidualizing modules … some properties of G C -projective modules. …

… Auslander formulae for the Gorenstein homological dimensions with respect to a … the
Gorenstein flat and Gorenstein projective dimensions of rings relative to a semidualizing …

… the subcategories of C-Gorenstein injective left R-modules (Gorenstein projective left R-…
semidualizing R-module C, it is shown that a finitely generated R-module M is add CGorenstein …

… In this section we investigate the relative setting of this … if for every injective R-module I, the
character module Hom Z ( I , … in relative setting with respect to a semidualizing R-module C. In …

… a semidualizing module over any commutative ring R. We investigate the semidualizing
module … Relative algebra with respect to the semidualizing module C has caught many authors’ …

… C a semidualizing (R, S)-bimodule. As applications of the above result, we get that if S is right
coherent and C is faithfully semidualizing, … In relative homological algebra, the Gorenstein …

… relative setting with respect to two semidualizing modules C and S. More precisely, for an
R-… concept of transpose of a module with respect to a semidualizing module C (see Geng [8]). …