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

… Let R be a commutative Noetherian ring and C a semidualizing module. … Tate homology
for modules admitting Tate \(\mathcal {F}_C\)-resolutions. Then we relate this Tate homology …

… Abstract Let R be a commutative Noetherian ring and C a semidualizing module. Based on
… Tate homology for modules admitting Tate FC-resolutions. Then we relate this Tate homology …

… Tate cohomology of modules over a commutative noetherian ring with respect to semidualizing
modules. … Our results are based on an analysis of Tate cohomology in abelian categories. …

… of modules which satisfy the conditions 𝒬 ′ ⊆𝒬, 𝒬 ∩ ℛ = 𝒬 ′ ∩ ℛ ′ , and ℛ ′ is enveloping,
a kind of Tate homology T o r ̂ ∗ 𝒬 ℳ of modules is … It is shown that a module admits …

… balance result for Tate cohomology of modules with respect to semidualizing modules (see …
Let R be a commutative ring, and let B and C be semidualizing R-modules such that B ∈ …

… module, that R has a non-trivial semidualizing module if and … Q/I2 enjoy considerable
cohomological vanishing over Q. Thus, it … We call them Tate resolutions in order to avoid confusion …

… Tate homology based on so-called Tate … module M and an R-module N admitting a Tate
flat resolution T (see Proposition 3.4 for the existence of Tate flat resolutions), the Tate homology …

… R we define a co-Tate homology group ̂ ExtR n (M, N) for R-modules M and N with RGpd(M)
… co-Tate homology group ̂ ExtR n (M,N) as ̂ ExtR n (M,N)=Hn Hom(T,N) for R-modules M …

… and Tate cohomology, and their relations with the vanishing of Tor and Tate homology
respec… In the same direction, we also investigate symmetry in the vanishing of Tate cohomology …