… for the Gorenstein homological dimensions with respect to a semidualizing bimodule (see …
-module generated by the elements of X and Fα the free S-module generated by the elements …

… further homological properties of the cotranspose of modules, n-cotorsion-free modules, and
related modules. … Following this suggestion, we denote the given semidualizing module by …

… When X is the class of projective R-module we write pd R ( M ) for the associated homological
dimension and call it the projective dimension of M. Similarly, the injective dimension of M …

… For a linked module M with respect to a semidualizing module… local cohomology modules of
its linked module is discussed. … GC-dimension zero modules whose 0-th homology is M. The …

… ] that an $R$ -module $C$ is said to be semidualizing if $C$ admits … free modules and a
dualizing (Canonical) modules when … homological theory with respect to a semidualizing module …

… semidualizing modules to general associative rings. Recall that an R-module C is semidualizing
[… For example, a finitely generated projective R-module of rank 1 is semidualizing. If R is …

… a semidualizing module over any commutative ring R. We investigate the semidualizing
module C … of all Rmodules and the supremum of the C-Gorenstein injective dimensions of all R-…

… R-module C is called a semidualizing module whenever χ C is … module of a Cohen–Macaulay
local ring are semidualizing … By tensoring both side with C, we get ( M ⊗ R C ) ⊗ R ω R ≅ ω …

… for a local integral domain, then every GC -injective R-module is divisible. In addition, …
modules via relative Gorenstein homological dimensions with respect to a semidualizing module. …

… The notion of semidualizing module has become a central object in homological algebra
since its … Among various research areas on semidualizing modules, one basically focuses on …