On strongly Gorenstein FP-injective modules

Z Gao - Communications in Algebra, 2013 - Taylor & Francis
This article continues to investigate a particular case of Gorenstein FP-injective modules,
called strongly Gorenstein FP-injective modules. Some examples are given to show that …

A note on dg-Gorenstein injective covers

A Iacob - Acta Mathematica Universitatis Comenianae, 2022 - iam.fmph.uniba.sk
We consider a ring R such that the class of Gorenstein injective modules is closed under
direct limits. We prove that the class of dg-Gorenstein injective complexes is covering in Ch …

Gorenstein syzygy modules

C Huang, Z Huang - Journal of Algebra, 2010 - Elsevier
For any ring R and any positive integer n, we prove that a left R-module is a Gorenstein n-
syzygy if and only if it is an n-syzygy. Over a left and right Noetherian ring, we introduce the …

Gorenstein -injectivity on -coherent rings

F Shaveisi, M Amini, MH Bijanzadeh - Asian-European Journal of …, 2015 - World Scientific
Let T be a tilting module. In this paper, Gorenstein σ [T]-injective modules are introduced and
some of their basic properties are studied. Moreover, some characterizations of rings over …

Gorenstein flat covers of modules over Gorenstein rings

E Enochs, J Xu - Journal of Algebra, 1996 - Elsevier
A left and right Noetherian ringRis called Gorenstein if bothRRandRRhave finite injective
dimensions. These rings were studied by Bass for the commutative case and Iwanaga for …

Gorenstein FC-projective modules

Y Wang, D Zhou - Journal of Algebra and Its Applications, 2020 - World Scientific
In this paper, we investigate Gorenstein FC-projective modules and Gorenstein FC-
projective dimensions, and characterize rings over which every module is Gorenstein FC …

[PDF][PDF] X-Gorenstein projective modules

D Bennis, K Ouarghi - Int. Math. Forum, 2010 - researchgate.net
In this paper, we generalize the notion of Gorenstein projective modules. Namely, we
introduce X-Gorenstein projective modules, where X is a class of modules that contains all …

Auslander condition and Gorenstein rings

D Wu - Mathematical Notes, 2022 - Springer
Let be a left Noetherian ring satisfying the Auslander condition. It is proven that a left-module
is Gorenstein injective if and only if is strongly cotorsion and for any injective left-module; a …

Rings over which the class of Gorenstein flat modules is closed under extensions

D Bennis - Communications in Algebra, 2009 - Taylor & Francis
A ring R is called left “GF-closed”, if the class of all Gorenstein flat left R-modules is closed
under extensions. The class of left GF-closed rings includes strictly the one of right coherent …

Gorenstein FI-flat (pre) covers

C Selvaraj, V Biju, R Udhayakumar - Gulf Journal of Mathematics, 2015 - gjom.org
GORENSTEIN FI-FLAT (PRE)COVERS 1. Introduction The notions of (pre)covers and (pre)envelopes
of modules were introduced by Enoch Page 1 Gulf Journal of Mathematics Vol 3, Issue 4 (2015) …