Indecomposable pure-injective objects in stable categories of Gorenstein-projective modules over Gorenstein orders
T Nakamura - arXiv preprint arXiv:2209.15630, 2022 - arxiv.org
We give a result of Auslander-Ringel-Tachikawa type for Gorenstein-projective modules
over a complete Gorenstein order. In particular, we prove that a complete Gorenstein order …
over a complete Gorenstein order. In particular, we prove that a complete Gorenstein order …
Relative singularity categories and Gorenstein-projective modules
XW Chen - arXiv preprint arXiv:0709.1762, 2007 - arxiv.org
We introduce the notion of relative singularity category with respect to any self-orthogonal
subcategory $\omega $ of an abelian category. We introduce the Frobenius category of …
subcategory $\omega $ of an abelian category. We introduce the Frobenius category of …
Relative singularity categories and Gorenstein‐projective modules
XW Chen - Mathematische Nachrichten, 2011 - Wiley Online Library
We introduce the notion of relative singularity category with respect to a self‐orthogonal
subcategory ω of an abelian category. We introduce the Frobenius category of ω‐Cohen …
subcategory ω of an abelian category. We introduce the Frobenius category of ω‐Cohen …
On algebras of finite Cohen–Macaulay type
A Beligiannis - Advances in Mathematics, 2011 - Elsevier
We study Artin algebras Λ and commutative Noetherian complete local rings R in connection
with the following decomposition property of Gorenstein-projective modules: We show that …
with the following decomposition property of Gorenstein-projective modules: We show that …
[HTML][HTML] Precovers and orthogonality in the stable module category
I Emmanouil - Journal of Algebra, 2017 - Elsevier
We show that any module admits a presentation as the quotient of a Gorenstein projective
module by a submodule which is itself right orthogonal, with respect to the standard Ext 1 …
module by a submodule which is itself right orthogonal, with respect to the standard Ext 1 …
N-recollements and Virtually Gorenstein Algebras
D Shen, H Su - arXiv preprint arXiv:2302.06977, 2023 - arxiv.org
The relation between the $ n $-recollements of stable categories of Gorenstein projective
modules and the virtual Gorensteinness of algebras are investigated. Let $ A, B $, and $ C …
modules and the virtual Gorensteinness of algebras are investigated. Let $ A, B $, and $ C …
The tensor product of Gorenstein-projective modules over category algebras
R Wang - Communications in Algebra, 2018 - Taylor & Francis
Full article: The tensor product of Gorenstein-projective modules over category algebras Skip to
Main Content Taylor and Francis Online homepage Taylor and Francis Online homepage Log …
Main Content Taylor and Francis Online homepage Taylor and Francis Online homepage Log …
The stable category of monomorphisms between (Gorenstein) projective modules with applications
A Bahlekeh, FS Fotouhi, MA Hamlehdari… - arXiv preprint arXiv …, 2024 - arxiv.org
Let (S; n) be a commutative noetherian local ring and let w in n be non-zero divisor. This
paper is concerned with the two categories of monomorphisms between finitely generated …
paper is concerned with the two categories of monomorphisms between finitely generated …
On stability of Gorenstein categories
A Xu, N Ding - Communications in Algebra, 2013 - Taylor & Francis
We show that an iteration of the procedure used to define the Gorenstein projective modules
over a ring R yields exactly the Gorenstein projective modules. Specifically, given an exact …
over a ring R yields exactly the Gorenstein projective modules. Specifically, given an exact …
Equivalences of stable categories of Gorenstein local rings
TJ Puthenpurakal - arXiv preprint arXiv:2403.05097, 2024 - arxiv.org
arXiv:2403.05097v1 [math.AC] 8 Mar 2024 Page 1 arXiv:2403.05097v1 [math.AC] 8 Mar 2024
EQUIVALENCES OF STABLE CATEGORIES OF GORENSTEIN LOCAL RINGS TONY J …
EQUIVALENCES OF STABLE CATEGORIES OF GORENSTEIN LOCAL RINGS TONY J …