Linkage of modules with respect to a semidualizing module

MT Dibaei, A Sadeghi - Pacific Journal of Mathematics, 2018 - msp.org
The notion of linkage with respect to a semidualizing module is introduced. This notion
enables us to study the theory of linkage for modules in the Bass class with respect to a …

[PDF][PDF] Gorenstein homological dimensions with respect to a semidualizing module

Z Zhang, J Wei - International Electronic Journal of Algebra, 2018 - dergipark.org.tr
In this paper, let R be a commutative ring and C a semidualizing module. We investigate the
(weak) C-Gorenstein global dimension of R and we get a simple formula to compute the C …

Tate homology with respect to cotorsion pairs

Z Di, Z Liu, X Zhang - Communications in Algebra, 2018 - Taylor & Francis
Given two complete hereditary cotorsion pairs (𝒬, ℛ) and (𝒬′, ℛ′) in the category of
modules which satisfy the conditions 𝒬′⊆ 𝒬, 𝒬∩ ℛ= 𝒬′∩ ℛ′, and ℛ′ is enveloping, a …

[PDF][PDF] Tate Homology of Modules Based on Tate ⅠC-Resolutions

P Ma, R Zhao, X Luo - 2018 - researchgate.net
Let R be a commutative Noetherian ring and C a semidualizing module. Based on a kind of
Tate FC-resolutions of modules constructed by Hu et al., in this paper, we introduce and …

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. Based on a kind of
Tate F _C FC-resolutions of modules constructed by Hu et al., in this paper, we introduce …

Semidualizing Module and Gorenstein Homological Dimensions

Z Zhang - 2018 - projecteuclid.org
Let C be a semidualizing module over any commutative ring R. We investigate the
semidualizing module C with finite injective dimension. In particular, we obtain some …