Strongly Gorenstein projective, injective and flat modules

X Yang, Z Liu - Journal of Algebra, 2008 - Elsevier
Journal of Algebra Strongly Gorenstein projective, injective and flat modules Page 1 Journal
of Algebra 320 (2008) 2659–2674 Contents lists available at ScienceDirect Journal of Algebra …

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 …

On homotopy categories of Gorenstein modules: compact generation and dimensions

N Gao - arXiv preprint arXiv:1401.4204, 2014 - arxiv.org
Let $ A $ be a virtually Gorenstein algebra of finite CM-type. We establish a duality between
the subcategory of compact objects in the homotopy category of Gorenstein projective left …

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 …

Gorenstein flat modules over some Morita context rings

L Mao - Journal of Algebra and Its Applications, 2024 - World Scientific
Gorenstein flat modules over some Morita context rings Page 1 2 January 13, 2023 15:53
WSPC/S0219-4988 171-JAA 2450096 Journal of Algebra and Its Applications (2024) 2450096 …

[HTML][HTML] Strongly Gorenstein projective, injective, and flat modules

D Bennis, N Mahdou - Journal of Pure and Applied Algebra, 2007 - Elsevier
In this paper, we study a particular case of Gorenstein projective, injective, and flat modules,
which we call, respectively, strongly Gorenstein projective, injective, and flat modules. These …

[PDF][PDF] Gorenstein derived categories and Gorenstein singularity categories

N Gao, P Zhang - preprint, 2008 - math.uni-bielefeld.de
The Gorenstein derived category is introduced and studied via Verdier's localization of
homotopy category respect to the saturated multiplicative system of Gorenstein quasi …

Monomorphism categories, cotilting theory, and Gorenstein-projective modules

P Zhang - Journal of Algebra, 2011 - Elsevier
The monomorphism category S n (X) is introduced, where X is a full subcategory of the
module category A-mod of an Artin algebra A. The key result is a reciprocity of the …

A characterization of Gorenstein projective modules

J Wang, L Liang - Communications in Algebra, 2016 - Taylor & Francis
In this article, we give a new characterization of Gorenstein projective modules. As
applications of our result, we prove that a strongly Gorenstein projective module of …

Gorenstein projective resolvents

E Enochs, S Estrada, A Iacob… - Communications in …, 2016 - Taylor & Francis
Let R be a local commutative n-Gorenstein ring. The existence of the Gorenstein projective
preenvelopes for finite R-modules is known (it was proved using duality arguments). In the …