[PDF][PDF] On strongly Gorenstein hereditary rings
K Hu, H Kim, F Wang, L Xu, D Zhou - Bulletin of the Korean …, 2019 - researchgate.net
In this note, we mainly discuss strongly Gorenstein hereditary rings. We prove that for any
ring, the class of SG-projective modules and the class of G-projective modules coincide if …
ring, the class of SG-projective modules and the class of G-projective modules coincide if …
Quasi-strongly Gorenstein projective modules
K Hu, F Wang, L Xu, D Zhou - Journal of Algebra and Its …, 2019 - World Scientific
In this paper, we introduce the class of quasi-strongly Gorenstein projective modules which
is a particular subclass of the class of finitely generated Gorenstein projective modules. We …
is a particular subclass of the class of finitely generated Gorenstein projective modules. We …
All Gorenstein hereditary rings are coherent
Z Gao, F Wang - Journal of Algebra and Its Applications, 2014 - World Scientific
A ring R is called Gorenstein hereditary (G-hereditary) if every submodule of a projective
module is Gorenstein projective (ie Ggldim (R)≤ 1). In this paper, we settle a question …
module is Gorenstein projective (ie Ggldim (R)≤ 1). In this paper, we settle a question …
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 …
of Algebra 320 (2008) 2659–2674 Contents lists available at ScienceDirect Journal of Algebra …
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 …
Rings over which all (finitely generated strongly) Gorenstein projective modules are projective …
G-Gorenstein modules
M Aghajani, H Zakeri - Algebra Colloquium, 2012 - World Scientific
Let R be a commutative Noetherian ring. In this paper, we study those finitely generated R-
modules whose Cousin complexes provide Gorenstein injective resolutions. We call such a …
modules whose Cousin complexes provide Gorenstein injective resolutions. We call such a …
Gorenstein modules under Frobenius extensions
F Kong, D Wu - Bulletin of the Korean Mathematical Society, 2020 - koreascience.kr
Abstract Let R⊂ S be a Frobenius extension of rings and M a left S-module and let 𝓧 be a
class of left R-modules and 𝒚 a class of left S-modules. Under some conditions it is proven …
class of left R-modules and 𝒚 a class of left S-modules. Under some conditions it is proven …
A generalization of strongly Gorenstein projective modules
D Bennis, N Mahdou - Journal of Algebra and its Applications, 2009 - World Scientific
This paper generalize the idea of the authors in J. Pure Appl. Algebra 210 (2007) 437–445.
Namely, we define and study a particular case of Gorenstein projective modules. We …
Namely, we define and study a particular case of Gorenstein projective modules. We …
Gorenstein injective modules and Auslander categories
MA Esmkhani, M Tousi - Archiv der Mathematik, 2007 - Springer
In this paper, we study Gorenstein injective modules over a local Noetherian ring R. For an
R-module M, we show that M is Gorenstein injective if and only if Hom R (Ȓ, M) belongs to …
R-module M, we show that M is Gorenstein injective if and only if Hom R (Ȓ, M) belongs to …
Weak Gorenstein projective, injective and flat modules
Z Gao - Journal of Algebra and Its Applications, 2013 - World Scientific
In this paper, weak Gorenstein projective, injective and flat modules are introduced and
investigated. A left R-module M is called weak Gorenstein projective if there exists an exact …
investigated. A left R-module M is called weak Gorenstein projective if there exists an exact …