When stable Cohen-Macaulay Auslander algebra is semisimple

R Hafezi - arXiv preprint arXiv:2109.00467, 2021 - arxiv.org
Let $\text {Gprj}\mbox {-}\Lambda $ denote the category of Gorenstein projective modules
over an Artin algebra $\Lambda $ and the category $\text {mod}\mbox {-}(\underline {\text …

G-semisimple algebras

R Hafezi, A Bahlekeh - arXiv preprint arXiv:2402.14126, 2024 - arxiv.org
Let $\Lambda $ be an Artin algebra and ${\mathsf {mod}}\mbox {-}({\underline {\mathsf
{Gprj}}}\mbox {-}\Lambda) $ the category of finitely presented functors over the stable …

[PDF][PDF] On cohen-macaulay auslander algebras

R Hafezi - arXiv preprint arXiv:1802.05156, 2018 - researchgate.net
Cohen-Macaulay Auslander algebras are the endomorphism algebras of representation
generators of the subcategory of Gorenstein projective modules over CM-finite algebras. In …

From subcategories to the entire module categories

R Hafezi - Forum Mathematicum, 2021 - degruyter.com
In this paper we show that how the representation theory of subcategories (of the category of
modules over an Artin algebra) can be connected to the representation theory of all modules …

Gorenstein algebras of finite Cohen–Macaulay type

ZW Li, P Zhang - Advances in Mathematics, 2010 - Elsevier
An Artin algebra A is said to be CM-finite if there are only finitely many isomorphism classes
of indecomposable finitely generated Gorenstein-projective A-modules. Inspired by …

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 …

(Strongly) Gorenstein injective modules over upper triangular matrix Artin algebras

C Wang, X Yang - Czechoslovak Mathematical Journal, 2017 - Springer
Abstract Let Λ=\left () Λ=(AM 0 B) be an Artin algebra. In view of the characterization of
finitely generated Gorenstein injective Λ-modules under the condition that M is a …

From CM-finite to CM-free

F Kong, P Zhang - arXiv preprint arXiv:1212.6184, 2012 - arxiv.org
The aim of this paper is twofold. On one hand, we prove a slight generalization of the
stability for Gorenstein categories in [SWSW] and [Huang]; and show that the relative …

Derived equivalences for Cohen–Macaulay Auslander algebras

S Pan - Journal of Pure and Applied Algebra, 2012 - Elsevier
Derived equivalences for Cohen–Macaulay Auslander algebras Page 1 Journal of
Pure and Applied Algebra 216 (2012) 355–363 Contents lists available at SciVerse …

[引用][C] Recollements and -Cohen–Macaulay Auslander–Yoneda algebras

Y Qin - Journal of Algebra and Its Applications, 2023 - World Scientific
It is shown that a 4-recollement of derived categories of algebras induces a 2-recollement of
the corresponding Φ-Cohen–Macaulay Auslander–Yoneda algebras. This result not only …