[PDF][PDF] A study of absolute, relative and Tate homology with respect to a semidualizing module
O Celikbas, L Liang, A Sadeghi… - arXiv preprint arXiv …, 2019 - researchgate.net
In this paper we are concerned with absolute, relative and Tate Tor modules with respect to
a fixed semidualizing module over commutative Noetherian local rings. Motivated by a result …
a fixed semidualizing module over commutative Noetherian local rings. Motivated by a result …
Tate cohomology with respect to semidualizing modules
S Sather-Wagstaff, T Sharif, D White - Journal of Algebra, 2010 - Elsevier
We investigate Tate cohomology of modules over a commutative noetherian ring with
respect to semidualizing modules. We identify classes of modules admitting Tate resolutions …
respect to semidualizing modules. We identify classes of modules admitting Tate resolutions …
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
We introduce and investigate in this paper a kind of Tate homology of modules over a
commutative coherent ring based on Tate ℱC-resolutions, where C is a semidualizing …
commutative coherent ring based on Tate ℱC-resolutions, where C is a semidualizing …
Endomorphism algebras over commutative rings and torsion in self tensor products
J Lyle - arXiv preprint arXiv:2310.14134, 2023 - arxiv.org
Let $ R $ be a commutative Noetherian local ring. We study tensor products involving a
finitely generated $ R $-module $ M $ through the natural action of its endomorphism ring. In …
finitely generated $ R $-module $ M $ through the natural action of its endomorphism ring. In …
Balance for Tate cohomology with respect to semidualizing modules
L Liang, G Yang - Journal of the Australian Mathematical Society, 2013 - cambridge.org
In this paper, we further study Tate cohomology of modules over a commutative ring with
respect to semidualizing modules using the ideals of Sather-Wagstaff et al.['Tate …
respect to semidualizing modules using the ideals of Sather-Wagstaff et al.['Tate …
[图书][B] Quasidualizing modules
BA Kubik - 2011 - search.proquest.com
We introduce and study" quasidualizing" modules over a commutative local noetherian ring
R. An artinian R-module T is quasidualizing if the homothety map [special characters …
R. An artinian R-module T is quasidualizing if the homothety map [special characters …
Auslander-Reiten Conjecture, Finite -Injective Dimension of , and vanishing of
VD Mendoza-Rubio, VH Jorge-Pérez - arXiv preprint arXiv:2312.05914, 2023 - arxiv.org
Let $ R $ be a Noetherian local ring, and let $ C $ be a semidualizing $ R $-module. In this
paper, we present some results concerning to vanishing of $\operatorname {Ext} $ and finite …
paper, we present some results concerning to vanishing of $\operatorname {Ext} $ and finite …
[PDF][PDF] A note on τ-quasi-injective modules
S Crivei - Studia Univ. Babes-Bolai Math, 2001 - Citeseer
Let τ be a hereditary torsion theory. We mention a characterization of τ-quasi-injective
modules, as fully invariant submodules of their τ-injective hull, and we give some properties …
modules, as fully invariant submodules of their τ-injective hull, and we give some properties …
Two generalizations of Auslander–Reiten duality and applications
A Sadeghi, R Takahashi - 2019 - projecteuclid.org
Two generalizations of Auslander-Reiten duality and applications Page 1 Two generalizations of
Auslander–Reiten duality and applications Arash Sadeghi and Ryo Takahashi …
Auslander–Reiten duality and applications Arash Sadeghi and Ryo Takahashi …
Relative Tor functors with respect to a semidualizing module
Let C be a semidualizing module over a commutative noetherian ring R. We exhibit an
isomorphism Tor^F_CM_i(-,-)≅Tor^P_CM_i(-,-) between the bifunctors defined via C-flat and …
isomorphism Tor^F_CM_i(-,-)≅Tor^P_CM_i(-,-) between the bifunctors defined via C-flat and …