… 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. …

… In [11], the authors showed that how a semidualizing module C gives rise to three new relative
homological … Also, we give some homological properties of (R ⊳⊲ I)-modules, where I is a …

… admit dualizing modules and non-trivial semidualizing modules (ie neither free nor dualizing).
… For each integer i and each R -module N, the i th Tate homology and Tate cohomology …

… We consider various aspects and obtain new characterizations of these properties, which …
The notion of “semidualizing module” is one of the main notions in the relative homological …

… weaken the condition of C being semidualizing: if we let C … modules relative to a not
necessarily semidualizing module C and we find conditions for the class of G C -projective modules …

… ({\text {Tor}}^{R}_{1}(M,F)=0\)) for every super finitely presented R-module F. The notion of
a “semidualizing module” is a central notion in relative homological algebra. This notion was …

… semidualizing modules”, see [8]. Since then, significant research has been conducted on the
homological properties, homological … ring and generated by four elements tm1 , tm2 , tm3 , …

… in an abstract module category to be dualizable and we give a homological description of the
… one side, A is regarded as a left A-module, and on the other side, A is regarded as a right A-…

… the study of semidualizing modules under other names. The notion of semidualizing modules
… a generalization of that of dualizing modules, in fact, a dualizing module is a semidualizing …

… a semidualizing R-module. … homological dimensions, namely C-pd and C-id. Recently,
Kubik [13] introduced the dual notion of semidualizing modules, namely quasidualizing modules. …