… with absolute, relative and Tate Tor modules. In the first part … absolute Tor modules with
relative and Tate Tor modules. In the … to Tate Tor modules with respect to a semidualizing module …

… Let C be a semidualizing R-module over a commutative coherent ring R. In this … -modules
is closed under extensions, then an R-module M is C-Gorenstein flat if and only if the S-module …

… a coalgebra in the transversal direction of R relative to R=I.” In … to the categories O and Octr
over Tate Lie algebras in [42, … , such as “semi-dualizing complexes”. What the authors call “…

… The nth homology module of X is the module Hn(X)=Zn(X)/Bn(X). A quasi-isomorphism ϕ :
X → Y with X and Y in C(R) is a morphism such that the induced map Hn(ϕ):Hn(X) → Hn(Y ) …

… we define a co-Tate homology group ̂ ExtR n (M, N) for R-modules M and N with RGpd(…
relative homological algebras. If a class of R-modules F is precovering (that is, every R-module …

… and Tate cohomology, and their relations with the vanishing of Tor and Tate homology respec…
Absolute, relative, and Tate cohomology of modules of finite Gorenstein dimension. Proc. …

… is a semidualizing (S, R)-bimodule, we study the relations between the classes of relative
torsionfree modules and the torsionfree modules in … By the definition of homology module of a …

… describe the structure of G C -projective modules over T. As an application, … semidualizing)
over T using w-tilting (tilting, semidualizing) over A and B under the condition that U is relative …

… projective and injective modules, a balance result of Sather-Wagstaff, Sharif and White on
Gorenstein projective and injective modules with respect to semidualizing modules, and a …

… of abelian categories and with respect to a semidualizing module, respectively. The relative
cohomology theory in the setting of … is called the homology module of X in degree i. The …