[引用][C] Gorenstein injective and projective modules

EE Enochs, OMG Jenda - Mathematische Zeitschrift, 1995 - Springer
0 Introduction 611 1 Left derived extension functors 612 2 Gorenstein injective modules 616
3 Resolutions and resolvents 620 4 The existence of Gorenstein injective modules 623 5 …

Gorenstein projective, injective, and flat complexes

X Yang, Z Liu - Communications in Algebra, 2011 - Taylor & Francis
Enochs and Jenda gave some characterizations of Gorenstein injective and projective
complexes over n-Gorenstein rings. The aim of this article is to generalize these results and …

Singular compactness and definability for -cotorsion and Gorenstein modules

J Šaroch, J Št'ovíček - Selecta Mathematica, 2020 - Springer
We introduce a general version of the singular compactness theorem which makes it
possible to show that being a Σ Σ-cotorsion module is a property of the complete theory of …

Ding injective modules

A Iacob - Communications in Algebra, 2021 - Taylor & Francis
Full article: Ding injective modules Skip to Main Content Taylor and Francis Online homepage
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Gorenstein injective modules over Gorenstein rings

EE Enochs, OMG Jenda - Communications in Algebra, 1998 - Taylor & Francis
R will denote an n-Gorenstein ring, that is, R is left and right noetherian with injective
dimension at most n on either side. R module will mean a left R-module and all modules will …

n-Cotorsion pairs

M Huerta, O Mendoza, MA Pérez - Journal of Pure and Applied Algebra, 2021 - Elsevier
Motivated by some properties satisfied by Gorenstein projective and Gorenstein injective
modules over an Iwanaga-Gorenstein ring, we present the concept of left and right n …

All modules have Gorenstein flat precovers

G Yang, L Liang - Communications in Algebra, 2014 - Taylor & Francis
Full article: All Modules Have Gorenstein Flat Precovers Skip to Main Content Taylor and
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Silting complexes and Gorenstein projective modules

N Gao, J Ma, C Zhang - arXiv preprint arXiv:2110.12161, 2021 - arxiv.org
We introduce Gorenstein silting modules (resp. complexes), and give the relation with the
usual silting modules (resp. complexes). We show that Gorenstein silting modules are the …

Duality pairs, generalized Gorenstein modules, and Ding injective envelopes

J Gillespie, A Iacob - Comptes …, 2022 - comptes-rendus.academie-sciences …
Let R be a general ring. Duality pairs of R-modules were introduced by Holm-Jørgensen.
Most examples satisfy further properties making them what we call semi-complete duality …

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 …