… 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 …

… of Tate homology of modules over a commutative coherent ring based on Tate FC -resolutions,
where C is a semidualizing module. We show firstly that the class of modules admitting a …

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

… semidualizing modules of special form. For rings with m3 = 0 this condition reduces to the
existence of a nontrivial semidualizing module … ) Rcomplexes with finite homology, localized at …

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

… respect to R is a special case of duality with respect to a semidualizing module, as is duality
with respect … in the complexes H.omn(F, L) and F ®RL are in C, so their homologies are in C …

… 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 …

… with respect to a semidualizing module. This is a new notion of linkage for modules and …
M is a right acyclic complex of GC-dimension zero modules whose 0-th homology is M. The …

… relative setting with respect to two semidualizing modules C and S. More precisely, for an
R-module M of finite GC-dimension which is horizontally linked with respect to S such that Tr …

… modules among these complexes: A semi-dualizing module for R is a finite (that is, finitely
generated) R–module … complex C the complexes with finite homology and finite projective …