[HTML][HTML] When the kernel of a complete hereditary cotorsion pair is the additive closure of a tilting module

J Wang, Y Li, J Hu - Journal of Algebra, 2019 - Elsevier
In this paper, we study when the kernel of a complete hereditary cotorsion pair is the additive
closure of a tilting module. Applications go in three directions. The first is to characterize …

[PDF][PDF] X-injective and Gorenstein X-injective modules

C Selvaraj, A Umamaheswaran - Far East Journal of Mathematical …, 2014 - researchgate.net
X -INJECTIVE AND GORENSTEIN X -INJECTIVE MODULES Page 1 Far East Journal of
Mathematical Sciences (FJMS) © 2014 Pushpa Publishing House, Allahabad, India …

Generalized Gorenstein modules

A Iacob - Algebra Colloquium, 2022 - World Scientific
We introduce a generalization of the Gorenstein injective modules: the Gorenstein FP n-
injective modules (denoted by GI n). They are the cycles of the exact complexes of injective …

The Ext-strongly Gorenstein projective modules

J Ren - Turkish Journal of Mathematics, 2015 - journals.tubitak.gov.tr
The Ext-strongly Gorenstein projective modules Page 1 Turkish Journal of Mathematics Volume
39 Number 1 Article 6 1-1-2015 The Ext-strongly Gorenstein projective modules JIE REN Follow …

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 …

Ding-graded modules and gorenstein gr-flat modules

L Mao - Glasgow Mathematical Journal, 2018 - cambridge.org
Let R be a graded ring. We introduce the concepts of Ding gr-injective and Ding gr-
projective R-modules, which are the graded analogues of Ding injective and Ding projective …

-Gorenstein projective,-Gorenstein injective and-Gorenstein flat modules

Z Zhang, X Zhu, X Yan - Chinese Annals of Mathematics, Series B, 2014 - Springer
The authors introduce and investigate the T_C-Gorenstein projective, L_C-Gorenstein
injective and H_C-Gorenstein flat modules with respect to a semidualizing module C which …

A Characterization of n-Gorenstein Tilting Comodules

Y Li, H Yao - Applied Categorical Structures, 2022 - Springer
The aim of this paper is to introduce the concept of n-Gorenstein tilting comodules and study
its main properties. This concept generalizes the notion of n-tilting comodules of finite …

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 …

[PDF][PDF] Gorenstein-projective and semi-Gorenstein-projective modules. II Claus Michael Ringel, Pu Zhang

CM Ringel - math.uni-bielefeld.de
Let A be an artin algebra. An A-module M will be said to be semi-Gorensteinprojective
provided that Exti (M, A)= 0 for all i≥ 1. All Gorenstein-projective modules are semi …