… 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 …

… 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, …

… 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-…

… modules, we introduce and study the cotranspose of modules with respect to a semidualizing
module … nC-cotorsionfree modules, and show that nC-cotorsionfree modules possess many …

… 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 …

… homological dimension. We also investigate the connections between semidualizing modules
… Furthermore, using the theory of semidualizing modules and relative homological algebra, …

… 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 …

… 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 …

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

… 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 …