X-strongly Gorenstein modules
HU Yue, Z Jun, Z Zhibing - JUSTC, 2020 - justc.ustc.edu.cn
The notion of X-strongly Gorenstein projective module was defined. It was proved that a
module is X-Gorenstein projective if and only if it is a direct summand of some X …
module is X-Gorenstein projective if and only if it is a direct summand of some X …
[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 …
Mathematical Sciences (FJMS) © 2014 Pushpa Publishing House, Allahabad, India …
[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 …
injective modules and characterize rings over which all modules are Gorenstein weak …
[PDF][PDF] Rings over which all modules are gorenstein (resp., strongly gorenstein) projective
D Bennis, N Mahdou, K Ouarghi - arXiv preprint arXiv:0712.0127, 2007 - Citeseer
One of the main results of this paper is the characterization of the rings over which all
modules are strongly Gorenstein projective. We show that these kinds of rings are very …
modules are strongly Gorenstein projective. We show that these kinds of rings are very …
Coherent rings with finite self-FP-injective dimension
N Ding, J Chen - Communications in algebra, 1996 - Taylor & Francis
Coherent rings with finite self-FP-injective dimension Page 1 COMMUNICATIONS IN ALGEBRA,
24(9), 2963-2980 (1996) COHERENT RINGS WITH FINITE SELF-FP-INJECTIVE DIMENSION …
24(9), 2963-2980 (1996) COHERENT RINGS WITH FINITE SELF-FP-INJECTIVE DIMENSION …
Gornstein injective covers and envelopes over rings that satisfy the Auslander condition
A Iacob - Acta Mathematica Universitatis Comenianae, 2016 - iam.fmph.uniba.sk
Abstract It was recently proved ([12]) that the class of Gorensteininjective left R-modules is
both covering and enveloping over a two sided noetherian ring R with the property that the …
both covering and enveloping over a two sided noetherian ring R with the property that the …
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 $ R $-modules are special precovering, among them including the …
Weak injective and weak flat modules
Z Gao, F Wang - Communications in Algebra, 2015 - Taylor & Francis
Let R be a ring. A left R-module M (resp., right R-module N) is called weak injective (resp.,
weak flat) if (resp.,) for every super finitely presented left R-module F. By replacing finitely …
weak flat) if (resp.,) for every super finitely presented left R-module F. By replacing finitely …
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 …
Gorenstein injective and strongly cotorsion modules
Z Huang - Israel Journal of Mathematics, 2013 - Springer
By investigating the properties of some special covers and envelopes of modules, we prove
that if R is a Gorenstein ring with the injective envelope of RR flat, then a left R-module is …
that if R is a Gorenstein ring with the injective envelope of RR flat, then a left R-module is …