Ω-Gorenstein projective, injective and flat modules

X Yang, Z Liu - Algebra Colloquium, 2011 - World Scientific
Ω-Gorenstein Projective, Injective and Flat Modules Page 1 Algebra Colloquium c 2011 AMSS
CAS & SUZHOU UNIV Algebra Colloquium 18 : 2 (2011) 273–288 Ω-Gorenstein Projective …

[PDF][PDF] Self-orthogonality and Gorenstein projectivity

D Bennis, K Ouarghi - Int. J. Contemp. Math. Sciences, 2010 - researchgate.net
In this paper, we investigate the conjecture that every self-orthogonal Gorenstein projective
module is projective. Namely, we give an affirmative answer to this conjecture for a particular …

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
Francis Online homepage Taylor and Francis Online homepage Log in | Register Cart 1.Home …

Gorenstein injective envelopes and covers over two sided noetherian rings

A Iacob - Communications in Algebra, 2017 - Taylor & Francis
We prove that the class of Gorenstein injective modules is both enveloping and covering
over a two sided noetherian ring such that the character modules of Gorenstein injective …

Gorenstein flat modules with respect to duality pairs

Z Wang, G Yang, R Zhu - Communications in Algebra, 2019 - Taylor & Francis
Let X be a class of left R-modules, Y be a class of right R-modules. In this article, we
introduce and study Gorenstein (X, Y)-flat modules as a common generalization of some …

Some Remarks on Gorenstein Projective Precovers

V Becerril - arXiv preprint arXiv:2403.10727, 2024 - arxiv.org
In this paper, we prove that for a $ n $-perfect ring $ R $ various classes of relative
Gorenstein projective $ R $-modules are special precovering, among them including the …

Gorenstein-projective and semi-Gorenstein-projective modules

CM Ringel, P Zhang - Algebra & Number Theory, 2020 - msp.org
Let A be an artin algebra. An A-module M will be said to be semi-Gorenstein-projective
provided that Ext i (M, A)= 0 for all i≥ 1. All Gorenstein-projective modules are semi …

Gorenstein flat and projective (pre) covers

S Estrada, A Iacob, S Odabasi - arXiv preprint arXiv:1508.04173, 2015 - arxiv.org
arXiv:1508.04173v1 [math.AC] 17 Aug 2015 Page 1 arXiv:1508.04173v1 [math.AC] 17 Aug
2015 GORENSTEIN FLAT AND PROJECTIVE (PRE)COVERS S. ESTRADA, A. IACOB, S …

Strongly Gorenstein graded modules

L Mao - Frontiers of Mathematics in China, 2017 - Springer
Strongly Gorenstein graded modules Page 1 Front. Math. China 2017, 12(1): 157–176 DOI
10.1007/s11464-016-0595-y Strongly Gorenstein graded modules Lixin MAO Department of …

How to construct Gorenstein projective modules relative to complete duality pairs over Morita rings

Y Ma, J Lü, H Li, J Hu - Journal of Algebra and Its Applications, 2023 - World Scientific
Let Δ= AANBBMAB be a Morita ring with M⊗ AN= 0= N⊗ BM. We first study how to construct
(complete) duality pairs of Δ-modules using (complete) duality pairs of A-modules and B …