GORENSTEIN n-WEAK INJECTIVE AND GORENSTEIN n-WEAK FLAT MODULES UNDER EXCELLENT EXTENSIONS.

M Amini - Journal of Mahani Mathematical Research Center, 2023 - search.ebscohost.com
Let R be an associative ring and let n be a non-negative integer. In this paper, we consider n-
super finitely presented, Gorenstein n-weak injective and Gorenstein n-weak flat modules …

Rings with finite n-Weak injective dimension and (n, k)-Weak cotorsion modules

M Amini, H Amzil, D Bennis - arXiv preprint arXiv:2105.00413, 2021 - arxiv.org
Let R be a ring and n, k be two non-negative integers. As an extension of several known
notions, we introduce and study (n, k)-weak cotorsion modules using the class of right R …

Weak injective and weak flat complexes

Z Gao, Z Huang - Glasgow Mathematical Journal, 2016 - cambridge.org
Let R be an arbitrary ring. We introduce and study a generalization of injective and flat
complexes of modules, called weak injective and weak flat complexes of modules …

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 …

[PDF][PDF] Gorenstein semihereditary rings and Gorenstein Prüfer domains

T Xiong - International Electronic Journal of Algebra, 2017 - dergipark.org.tr
GORENSTEIN SEMIHEREDITARY RINGS AND GORENSTEIN PRÜFER DOMAINS Tao Xiong
1. Introduction Throughout this paper, R is an associat Page 1 International Electronic Journal of …

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 …

[PDF][PDF] Gorenstein homological properties from coherent rings to arbitary rings

TW Zhao, YG Xu - arXiv preprint arXiv:1405.3375, 2014 - Citeseer
Throughout R is an associative ring with identity and all modules are unitary. Unless stated
otherwise, an R-module will be understood to be a left R-module. As usual, pdR (M) and idR …

[PDF][PDF] On Gorenstein weak injective modules

T ZHAO, Y XU - arXiv preprint arXiv:1405.0648, 2014 - Citeseer
In this paper, we introduce the notion of Gorenstein weak injective modules in terms of weak
injective modules and characterize rings over which all modules are Gorenstein weak …

Noncommutative -hereditary rings

Y Li, J Wang, Y Geng, J Hu - Journal of Algebra and Its Applications, 2021 - World Scientific
In this paper, we introduce and study left (right) G-hereditary rings over any associative ring,
and these rings are exactly G-hereditary rings defined by Mahdou and Tamekkante provided …

On sfp-injective and sfp-flat modules

C Selvaraj, P Prabakaran - Gulf Journal of Mathematics, 2017 - gjom.org
Let R be a ring. A left R-module M is said to be sfp-injective if, for every exact sequence 0→
K→ L with K and L super finitely presented left R-modules, the induced sequence Hom (L …