Gorenstein homological aspects of monomorphism categories via Morita rings
N Gao, C Psaroudakis - Algebras and Representation Theory, 2017 - Springer
In this paper we construct Gorenstein-projective modules over Morita rings with zero
bimodule homomorphisms and we provide sufficient conditions for such rings to be …
bimodule homomorphisms and we provide sufficient conditions for such rings to be …
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 derived categories
N Gao, P Zhang - Journal of Algebra, 2010 - Elsevier
Gorenstein derived categories are defined, and the relation with the usual derived
categories is given. The bounded Gorenstein derived categories of Gorenstein rings and of …
categories is given. The bounded Gorenstein derived categories of Gorenstein rings and of …
[HTML][HTML] A study of quasi-Gorenstein rings
E Tavanfar, M Tousi - Journal of Pure and Applied Algebra, 2018 - Elsevier
A study of quasi-Gorenstein rings - ScienceDirect Skip to main contentSkip to article Elsevier logo
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Journals & Books Search RegisterSign in View PDF Download full issue Search ScienceDirect …
Gorenstein derived functors from special rings to arbitrary rings
T Zhao - arXiv preprint arXiv:1405.3375, 2014 - arxiv.org
arXiv:1405.3375v2 [math.RA] 7 May 2015 Page 1 arXiv:1405.3375v2 [math.RA] 7 May 2015
GORENSTEIN DERIVED FUNCTORS FROM SPECIAL RINGS TO ARBITRARY RINGS TIWEI …
GORENSTEIN DERIVED FUNCTORS FROM SPECIAL RINGS TO ARBITRARY RINGS TIWEI …
Equivalences of stable categories of Gorenstein local rings
TJ Puthenpurakal - arXiv preprint arXiv:2403.05097, 2024 - arxiv.org
arXiv:2403.05097v1 [math.AC] 8 Mar 2024 Page 1 arXiv:2403.05097v1 [math.AC] 8 Mar 2024
EQUIVALENCES OF STABLE CATEGORIES OF GORENSTEIN LOCAL RINGS TONY J …
EQUIVALENCES OF STABLE CATEGORIES OF GORENSTEIN LOCAL RINGS TONY J …
The Relation Between Gorenstein Derived and Pure Derived Categories
M Yan, H Yao - Bulletin of the Iranian Mathematical Society, 2022 - Springer
In this paper we study the relation between Gorenstein derived and pure derived categories
under some conditions. Then, we also study the relation between Gorenstein singularity and …
under some conditions. Then, we also study the relation between Gorenstein singularity and …
Gorenstein dimensions in trivial ring extensions
N Mahdou, K Ouarghi - Commutative Algebra and its Applications, 2009 - degruyter.com
In this paper, we show that the Gorenstein global dimension of trivial ring extensions is often
infinite. Also we study the transfer of Gorenstein properties between a ring and its trivial ring …
infinite. Also we study the transfer of Gorenstein properties between a ring and its trivial ring …
[引用][C] A note on Gorenstein projective and Gorenstein flat modules
X Wang - Journal of Algebra and Its Applications, 2023 - World Scientific
We prove that all Gorenstein projective modules are Gorenstein flat if and only each
Gorenstein projective module has finite Gorenstein flat dimension. As applications, some …
Gorenstein projective module has finite Gorenstein flat dimension. As applications, some …
Frobenius functors and Gorenstein flat dimensions
J Hu, H Li, Y Geng, D Zhang - Communications in Algebra, 2020 - Taylor & Francis
We prove that if the Frobenius functor F (from the category of left R-modules to the category
of left S-modules) is faithful, then for any R-module X, the Gorenstein flat dimension of X is …
of left S-modules) is faithful, then for any R-module X, the Gorenstein flat dimension of X is …