… 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 …

… commutative Noetherian ring with identity and C, S be semidualizing R-modules. … respect
to S for modules of finite GC -dimension. For a module which is horizontally linked with respect …

… 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-…

… Throughout this article, R is a commutative Noetherian ring and all modules are unital. The
… a semidualizing R-module C, we define the finitistic projective dimension of R with respect to …

… We first study how to construct w-tilting (tilting, semidualizing) over T using … In addition, we
study the relative global dimension of T. In … when a T-module has a finite projective dimension. …

… Assume that R is a commutative Noetherian ring and C is a semidualizing R-module. … For
what modules C do we have that any ring is GCF-closed? In other words, when the class of GC-…

… 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 …

… a semidualizing module C to arbitrary modules over arbitrary rings, with respect to a module
… D], we obtain a partial answer under some finiteness of some global dimension of R. …

… with respect to a non-necessarily semidualizing module C. We … this global dimension. We
prove that finiteness of the … of the ring, taking into account that the definition of a semidualizing (…

… a semidualizing module C to arbitrary modules over arbitrary rings, with respect to a module
… D], we obtain a partial answer under some finiteness of some global dimension of R. …