Injective modules for group rings and Gorenstein orders

KW Roggenkamp - Journal of Algebra, 1973 - Elsevier
Commutative noetherian Gorenstein rings (ie, rings of finite selfinjective dimension) were
first studied by Bass in 1963 [2]. S is a Gorenstein ring of injective dimension one if and only …

Relative Gorenstein flat modules and dimension

D Bennis, R El Maaouy, JRG Rozas… - Communications in …, 2022 - Taylor & Francis
In this article, the new concept of relative Gorenstein flat modules is introduced. We give a
survey of their behavior in terms of both structural and dimension properties. We relate the …

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 …

[引用][C] On Gorenstein rings

OMG Jenda - Mathematische Zeitschrift, 1988 - Springer
On Gorenstein rings Page 1 Math. Z. 197, 119-122 (1988) Mathematische Zeitschrift 9
Springer-Verlag 1988 On Gorenstein Rings Overtoun MG Jenda Department of Mathematics …

Strongly -Gorenstein projective, injective and flat modules

N Mahdou, M Tamekkante - arXiv preprint arXiv:0904.4013, 2009 - arxiv.org
This paper generalize the idea of the authors in\cite {Bennis and Mahdou1}. Namely, we
define and study a particular case of modules with Gorenstein projective, injective, and flat …

Gorenstein flat modules over some Morita context rings

L Mao - Journal of Algebra and Its Applications, 2024 - World Scientific
Gorenstein flat modules over some Morita context rings Page 1 2 January 13, 2023 15:53
WSPC/S0219-4988 171-JAA 2450096 Journal of Algebra and Its Applications (2024) 2450096 …

[PDF][PDF] On GI-flat modules and dimensions

Z Gao - Journal of the Korean Mathematical Society, 2013 - researchgate.net
Let R be a ring. A right R-module M is called GI-flat if TorR 1 (M, G)= 0 for every Gorenstein
injective left R-module G. It is shown that GI-flat modules lie strictly between flat modules and …

[PDF][PDF] On relative Gorenstein homological dimensions with respect to a dualizing module

M Salimi - Mat. Vesnik, 2017 - emis.icm.edu.pl
Let R be a commutative Noetherian ring. The aim of this paper is studying the properties of
relative Gorenstein modules with respect to a dualizing module. It is shown that every …

Gorenstein injective modules and Auslander categories

MA Esmkhani, M Tousi - Archiv der Mathematik, 2007 - Springer
In this paper, we study Gorenstein injective modules over a local Noetherian ring R. For an
R-module M, we show that M is Gorenstein injective if and only if Hom R (Ȓ, M) belongs to …

Gorenstein projective, injective, and flat complexes

X Yang, Z Liu - Communications in Algebra, 2011 - Taylor & Francis
Enochs and Jenda gave some characterizations of Gorenstein injective and projective
complexes over n-Gorenstein rings. The aim of this article is to generalize these results and …