Injective stabilization of additive functors. III. Asymptotic stabilization of the tensor product

A Martsinkovsky, J Russell - arXiv preprint arXiv:1701.00268, 2017 - arxiv.org
The injective stabilization of the tensor product is subjected to an iterative procedure that
utilizes its bifunctor property. The limit of this procedure, called the asymptotic stabilization of …

On a Completion of Cohomological Functors Generalising Tate Cohomology I

M Gheorghiu - arXiv preprint arXiv:2405.03610, 2024 - arxiv.org
Viewing group cohomology as a so-called cohomological functor, G. Mislin has generalised
Tate cohomology from finite groups to all discrete groups by defining a completion for …

Homology theories and Gorenstein dimensions for complexes

L Liang - Algebras and Representation Theory, 2021 - Springer
In this paper, we first study the Gorenstein projective/flat dimension of complexes of
modules. The relation between the Gorenstein projective/flat dimension for complexes and …

Vanishing of stable homology with respect to a semidualizing module

L Liang - Frontiers of Mathematics in China, 2018 - Springer
We investigate stable homology of modules over a commutative noetherian ring R with
respect to a semidualzing module C, and give some vanishing results that improve/extend …