… 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 …

… 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 …

… 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 …

… 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 …

… 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 …

… 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, …

… Semidualizing modules (cf. Definition 6) have been … any commutative noetherian ring R, any
semidualizing R-module C … -module, and we say that ϕ is local if R and S are local rings and …

… ring, and let C be a semidualizing R-module. We introduce the notion of finitely presented
C-injective modules, finitely presented C-flat modules, … a commutative ring and all modules are …

… Throughout this paper, R is a commutative Noetherian ring with nonzero identity. Foxby [3], …
study of semidualizing modules under other names. The notion of semidualizing modules is …