Gorenstein flat covers of modules over Gorenstein rings
E Enochs, J Xu - Journal of Algebra, 1996 - Elsevier
A left and right Noetherian ringRis called Gorenstein if bothRRandRRhave finite injective
dimensions. These rings were studied by Bass for the commutative case and Iwanaga for …
dimensions. These rings were studied by Bass for the commutative case and Iwanaga for …
Gorenstein projective dimension with respect to a semidualizing module
D White - arXiv preprint math/0611711, 2006 - arxiv.org
We introduce and investigate the notion of $\gc $-projective modules over (possibly non-
noetherian) commutative rings, where $ C $ is a semidualizing module. This extends Holm …
noetherian) commutative rings, where $ C $ is a semidualizing module. This extends Holm …
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 …
enables us to study the theory of linkage for modules in the Bass class with respect to a …
Tensor and torsion products of relative injective modules with respect to a semidualizing module
Let R be a commutative Cohen–Macaulay ring, and let C be a semidualizing module of R. In
this paper, we show that C is generically dualizing if and only if the tensor products of …
this paper, we show that C is generically dualizing if and only if the tensor products of …
Gorenstein injective covers and envelopes over noetherian rings
E Enochs, A Iacob - Proceedings of the American Mathematical Society, 2015 - ams.org
Gorenstein injective covers and envelopes over noetherian rings Page 1 PROCEEDINGS OF
THE AMERICAN MATHEMATICAL SOCIETY Volume 143, Number 1, January 2015, Pages …
THE AMERICAN MATHEMATICAL SOCIETY Volume 143, Number 1, January 2015, Pages …
Gorenstein projective dimensions of complexes
ZK Liu, CX Zhang - Acta Mathematica Sinica, English Series, 2011 - Springer
We show that over a right coherent left perfect ring R, a complex C of left R-modules is
Gorenstein projective if and only if C m is Gorenstein projective in R-Mod for all m∈ ℤ …
Gorenstein projective if and only if C m is Gorenstein projective in R-Mod for all m∈ ℤ …
Gorenstein objects in the category of -complexes
B Lu - Journal of Algebra and Its Applications, 2021 - World Scientific
For an integer N≥ 2 and three subcategories 𝒲, 𝒳, 𝒴 of modules, we study the notion of (𝒲,
𝒳, 𝒴)-Gorenstein N-complexes. We show that under certain hypotheses, an N-complex C is …
𝒳, 𝒴)-Gorenstein N-complexes. We show that under certain hypotheses, an N-complex C is …
On Auslander-type conditions of modules
Z Huang - Publications of the Research Institute for Mathematical …, 2023 - content.ems.press
For a left and right Noetherian ring R, we give some equivalent characterizations for RR
satisfying the Auslander condition in terms of the flat (resp. injective) dimensions of the terms …
satisfying the Auslander condition in terms of the flat (resp. injective) dimensions of the terms …
All Gorenstein hereditary rings are coherent
Z Gao, F Wang - Journal of Algebra and Its Applications, 2014 - World Scientific
A ring R is called Gorenstein hereditary (G-hereditary) if every submodule of a projective
module is Gorenstein projective (ie Ggldim (R)≤ 1). In this paper, we settle a question …
module is Gorenstein projective (ie Ggldim (R)≤ 1). In this paper, we settle a question …
[HTML][HTML] Gorenstein homology, relative pure homology and virtually Gorenstein rings
F Zareh-Khoshchehreh, M Asgharzadeh… - Journal of Pure and …, 2014 - Elsevier
We consider the following question: Is Gorenstein homology a X-pure homology, in the
sense defined by Warfield, for a class X of modules? Let GP denote the class of Gorenstein …
sense defined by Warfield, for a class X of modules? Let GP denote the class of Gorenstein …