Relative cohomology and generalized Tate cohomology
B Yu, X Zhu, Y Zhou - Algebras and Representation Theory, 2017 - Springer
We compare relative cohomology theories arising from using different proper resolutions of
modules. Criteria for the vanishing of such distinctions are given in certain cases, and we …
modules. Criteria for the vanishing of such distinctions are given in certain cases, and we …
On balance for relative homology
Z Di, J Wei, X Zhang, J Chen - Communications in Algebra, 2016 - Taylor & Francis
Let R be a ring. It is reasonable to use a strict 𝒲𝒳-resolution of a right R-module M of finite 𝒳-
projective dimension, where 𝒳 denotes a subcategory of right R-modules closed under …
projective dimension, where 𝒳 denotes a subcategory of right R-modules closed under …
Relative Derived Category with respect to a Subcategory
Z Di, X Zhang, W Ren, J Chen - arXiv preprint arXiv:1410.3606, 2014 - arxiv.org
The notion of relative derived category with respect to a subcategory is introduced. A triangle-
equivalence, which extends a theorem of Gao and Zhang [Gorenstein derived …
equivalence, which extends a theorem of Gao and Zhang [Gorenstein derived …
Balance for relative homology with respect to semidualizing modules
Z Di, X Zhang, J Chen - 대한수학회보, 2015 - dbpia.co.kr
We derive in the paper the tensor product functor $-\otimes_R-$ by using proper $\mathcal
{G}\mathcal {P} _C $-resolutions, where $ C $ is a semidualizing module. After giving …
{G}\mathcal {P} _C $-resolutions, where $ C $ is a semidualizing module. After giving …
Remarks on Balance for Tate and Generalized Tate (Co) homology
C Huang, K Liu - Bulletin of the Iranian Mathematical Society, 2020 - Springer
Based on the analysis of Tate and generalized Tate cohomology in abelian categories, in
this note, we consider the balance for Tate and generalized Tate cohomology. Some …
this note, we consider the balance for Tate and generalized Tate cohomology. Some …
Relative derived categories with respect to subcategories
Z Di, X Zhang, W Ren, J Chen - Journal of Algebra and Its …, 2016 - World Scientific
The notion of relative derived category with respect to a subcategory is introduced. A triangle-
equivalence, which extends a theorem of Gao and Zhang [Gorenstein derived categories, J …
equivalence, which extends a theorem of Gao and Zhang [Gorenstein derived categories, J …