… modules over (possibly non-Noetherian) commutative rings, where C is a semidualizing
module… This extends Holm and J0rgensen's notion of C-Gorenstein projective modules to the …

… Let R be a commutative Noetherian ring. In this article, we provide some new criteria for a
semidualizing module to be dualizing in terms of special homological properties of …

… of Tate homology of modules over a commutative coherent ring based on Tate FC -resolutions,
where C is a semidualizing module. We show firstly that the class of modules admitting a …

… In Section 3, we introduce the notion of “relative Auslander dual” of certain finite modules
over commutative Noetherian rings with respect to a semidualizing module; see Definition 3.4. …

… In this paper, let R be a commutative ring and C a semidualizing module. We investigate
the (weak) C-Gorenstein global dimension of R and we get a simple formula to compute the C-…

… of finitely generated GC -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 …

… In the following, we let R and S be rings and SCR a semidualizing bimodule. All R- or S-…
a necessary and sufficient condition for a semidualizing module C to be projective whenever R …

… Throughout this paper, R and S are always two associative rings and SCR is always a
semidualizing (S, R)-bimodule, see Definition 1.3. A subcategory or a class of right R-…

… Over a commutative local ring, semidualizing modules provide a … -module of rank 1 is
semidualizing, and indeed this is the only semidualizing module over a Gorenstein local ring. An R-…

… Let R be a Noetherian ring and let C be a semidualizing R-module. In this paper, by using …
modules introduced by Rees [The grade of an ideal or module, Proc. Cambridge Philos. Soc. …