[HTML][HTML] Derived equivalences and Gorenstein algebras

H Abe, M Hoshino - Journal of pure and applied algebra, 2007 - Elsevier
We introduce a notion of Gorenstein R-algebras over a commutative Gorenstein ring R.
Then we provide a necessary and sufficient condition for a tilting complex over a Gorenstein …

A class of Gorenstein algebras and their dualities

W Gnedin, SB Iyengar, H Krause - arXiv preprint arXiv:2303.04893, 2023 - arxiv.org
In the recent paper" The Nakayama functor and its completion for Gorenstein algebras", a
class of Gorenstein algebras over commutative noetherian rings was introduced, and duality …

[HTML][HTML] Homotopy category of projective complexes and complexes of Gorenstein projective modules

J Asadollahi, R Hafezi, S Salarian - Journal of Algebra, 2014 - Elsevier
Let R be a ring with identity and C (R) denote the category of complexes of R-modules. In
this paper we study the homotopy categories arising from projective (resp. injective) …

On (strongly) Gorenstein von Neumann regular rings

N Mahdou, M Tamekkante… - Communications in …, 2011 - Taylor & Francis
Full article: On (Strongly) Gorenstein Von Neumann Regular Rings Skip to Main Content Taylor
and Francis Online homepage Taylor and Francis Online homepage Log in | Register Cart …

Foxby equivalences associated to Gorenstein categories 𝒢(𝒳,𝒴,𝒵)

W Zhang, Z Liu, X Yang - Communications in Algebra, 2018 - Taylor & Francis
In this paper, we establish some new Foxby equivalences between some Gorenstein
subcategories in the Auslander class 𝒜 C (R) and that in the Bass class ℬ C (S) in a general …

Finiteness criteria for Gorenstein flat dimension and stability

I Kaperonis, DD Stergiopoulou - Communications in Algebra, 2024 - Taylor & Francis
Projectively coresolved Gorenstein flat modules were introduced recently by Saroch and
Stovicek and were shown to be Gorenstein projective. While the relation between …

The orthogonal complement relative to the functor extension of the class of all Gorenstein flat modules

N Mahdou, M Tamekkante - 2011 - degruyter.com
Abstract Set 𝔊𝔉 (R) the class of all Gorenstein flat modules over R. In this paper, we
consider the double orthogonal classes⊥(𝔊𝔉 (R)⊥) and (⊥ 𝔊𝔉 (R))⊥ which clearly lies …

Gorenstein flat dimension of complexes

A Iacob - Journal of mathematics of Kyoto University, 2009 - projecteuclid.org
We define a notion of Gorenstein flat dimension for unbounded complexes over left GF-
closed rings. Over Gorenstein rings we introduce a notion of Gorenstein cohomology for …

All modules have Gorenstein flat precovers

G Yang, L Liang - Communications in Algebra, 2014 - Taylor & Francis
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Gorenstein n-FP-injective and Gorenstein n-flat complexes

C Selvaraj, R Saravanan - Bollettino dell'Unione Matematica Italiana, 2018 - Springer
In this paper, we introduce and study the notions of Gorenstein n-FP-injective and
Gorenstein n-flat complexes, which are special cases of Gorenstein FP-injective and …