… modules as tools for investigating co homology theories in algebraic geometry. In this paper,
we investigate semi dualizing modules … initiated the study of semi dualizing modules. Over a …

We compare and contrast various relative cohomology theories that arise from resolutions
involving semidualizing modules. We prove a general balance result for relative cohomology …

… to the case of semidualizing modules over … semidualizing modules of special form. For the
rings with m 3 =0, this condition reduces to the existence of a nontrivial semidualizing module, …

… 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 …

… from [9], we describe the semidualizing modules over a … module) is a semidualizing module
of finite injective dimension. The set of isomorphism classes of semidualizing R-modules is …

… The free R-module of rank 1 is semidualizing, and indeed this is the only semidualizing module
over … An R-module D is called dualizing if it is semidualizing and idR(D) < ∞. Also, an R-…

… a semidualizing R-complex to improve on Foxby’s result by answering Takahashi and
White’s question. In particular, we prove for a semidualizing module C, if there exists a module …

… 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 …

… of a projective module and a Gorenstein module. A dualizing module is always a
semidualizing module. Relative homological algebra with respect to a semidualizing module has …