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 …

Strongly -Gorenstein projective, injective and flat modules

N Mahdou, M Tamekkante - arXiv preprint arXiv:0904.4013, 2009 - arxiv.org
This paper generalize the idea of the authors in\cite {Bennis and Mahdou1}. Namely, we
define and study a particular case of modules with Gorenstein projective, injective, and flat …

Ring homomorphisms and finite Gorenstein dimension

LL Avramov, HB Foxby - Proceedings of the London Mathematical …, 1997 - cambridge.org
The local structure of homomorphisms of commutative noetherian rings is investigated from
the point of view of dualizing complexes. A concept of finite Gorenstein dimension, which …

On Gorenstein flat dimension

S Bouchiba - Journal of Algebra and its Applications, 2015 - World Scientific
The theory of Gorenstein flat dimension is not complete since it is not yet known whether the
category 𝒢ℱ (R) of Gorenstein flat modules over a ring R is projectively resolving or not …

[HTML][HTML] Gorenstein dimension of modules over homomorphisms

LW Christensen, S Iyengar - Journal of Pure and Applied Algebra, 2007 - Elsevier
Given a homomorphism of commutative noetherian rings R→ S and an S-module N, it is
proved that the Gorenstein flat dimension of N over R, when finite, may be computed locally …

Canonical filtrations of Gorenstein injective modules

E Enochs, Z Huang - Proceedings of the American Mathematical Society, 2011 - ams.org
The principle “Every result in classical homological algebra should have a counterpart in
Gorenstein homological algebra” was given by Henrik Holm. There is a remarkable body of …

Gorenstein flat covers over GF-closed rings

Y Gang, L Zhongkui - Communications in Algebra, 2012 - Taylor & Francis
Full article: Gorenstein Flat Covers over GF-Closed Rings Skip to Main Content Taylor and
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Rings over which all (finitely generated) strongly Gorenstein projective modules are projective

N Mahdou, K Ouarghi - arXiv preprint arXiv:0902.2237, 2009 - arxiv.org
arXiv:0902.2237v3 [math.AC] 10 Mar 2010 Page 1 arXiv:0902.2237v3 [math.AC] 10 Mar 2010
Rings over which all (finitely generated strongly) Gorenstein projective modules are projective …

Gorenstein projective modules via total complexes

Q Guo - Communications in Algebra, 2023 - Taylor & Francis
Full article: Gorenstein projective modules via total complexes Skip to Main Content Taylor and
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Gorenstein homological dimensions and Auslander categories

MA Esmkhani, M Tousi - Journal of Algebra, 2007 - Elsevier
In this paper, we study Gorenstein projective and flat modules over a Noetherian ring R. For
an R-module M, we show that Gorenstein projective dimension of M is finite if and only if …