… ring and all modules are unital. Tilting … R-module is C-projective, where C is a semidualizing
R-module. Finally, we investigate some kernel subcategories related to C-tilting modules. …

… D over a commutative ring R, we investigate the relationship between the existence of D-envelopes
(respectively, D-covers) and the existence of Hom(C, D)-envelopes or C ⊗D-…

… We also consider C-duals and initiate the study of C-valued derivation modules over a
local ring R of low depth; if C = R and R is a three-dimensional Gorenstein domain, we find a …

… cardinality of the set of semidualizing modules S 0 ( R ) of a Noetherian local ring R: Must it
… of ladder determinantal rings. These rings generalize the classical determinantal rings in a …

… identify a nontrivial semidualizing module for any numerical semigroup ring obtained from …
9 to exhibit nontrivial semidualizing modules for numerical semigroup rings with multiplicity 10 …

… Throughout this paper, R is a commutative Noetherian ring and all modules are unital. The
notion of a “semidualizing module” is a central notion in relative homological algebra. Ever …

… ring and let C be a semidualizing R-module. … respect to C and some other related topics.
In particular, it is shown that over local ring R, the relative Matlis dual of a Noetherian R-module …

… Let C be a semidualizing R-module over a commutative coherent ring R. In this … -modules
is closed under extensions, then an R-module M is C-Gorenstein flat if and only if the S-module …

… setting with respect to two semidualizing modules C and S. More precisely, for an R-module
M of … (ii) It is not obvious that a local ring admits semidualizing modules other than itself and, …

… of semidualizing modules to general associative rings. Recall … respect to a semidualizing
module C. For example, C-torsionless (C-reflexive) modules, C-Gorenstein projective modules …