Relative and Tate homology with respect to semidualizing modules
Z Di, X Zhang, Z Liu, J Chen - Journal of Algebra and Its …, 2014 - World Scientific
… 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 …
where C is a semidualizing module. We show firstly that the class of modules admitting a Tate …
Tate Homology of Modules Based on Tate -Resolutions
P Ma, R Zhao, X Luo - Bulletin of the Iranian Mathematical Society, 2018 - Springer
… 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 …
for modules admitting Tate \(\mathcal {F}_C\)-resolutions. Then we relate this Tate homology …
[PDF][PDF] Tate Homology of Modules Based on Tate ⅠC-Resolutions
P Ma, R Zhao, X Luo - 2018 - researchgate.net
… 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 homology for modules admitting Tate FC-resolutions. Then we relate this Tate homology …
Tate cohomology with respect to semidualizing modules
S Sather-Wagstaff, T Sharif, D White - Journal of Algebra, 2010 - Elsevier
… 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. …
modules. … Our results are based on an analysis of Tate cohomology in abelian categories. …
Tate homology with respect to cotorsion pairs
Z Di, Z Liu, X Zhang - Communications in Algebra, 2018 - Taylor & Francis
… 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 …
a kind of Tate homology T o r ̂ ∗ 𝒬 ℳ of modules is … It is shown that a module admits …
Balance for Tate cohomology with respect to semidualizing modules
L Liang, G Yang - Journal of the Australian Mathematical Society, 2013 - cambridge.org
… 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 ∈ …
Let R be a commutative ring, and let B and C be semidualizing R-modules such that B ∈ …
Presentations of rings with non-trivial semidualizing modules
DA Jorgensen, GJ Leuschke… - Collectanea mathematica, 2012 - Springer
… 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 …
cohomological vanishing over Q. Thus, it … We call them Tate resolutions in order to avoid confusion …
Tate homology of modules of finite Gorenstein flat dimension
L Liang - Algebras and Representation Theory, 2013 - Springer
… 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 …
flat resolution T (see Proposition 3.4 for the existence of Tate flat resolutions), the Tate homology …
Gorenstein Projective Coresolutions and Co-Tate Homology Functors
Z Liu, L Wang - Algebra Colloquium, 2022 - World Scientific
… 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 …
… co-Tate homology group ̂ ExtR n (M,N) as ̂ ExtR n (M,N)=Hn Hom(T,N) for R-modules M …
Gorenstein rings via homological dimensions, and symmetry in vanishing of Ext and Tate cohomology
D Ghosh, TJ Puthenpurakal - Algebras and Representation Theory, 2024 - Springer
… 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 …
respec… In the same direction, we also investigate symmetry in the vanishing of Tate cohomology …