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 …
complexes over n-Gorenstein rings. The aim of this article is to generalize these results and …
[PDF][PDF] A brief introduction to Gorenstein projective modules
P Zhang - Notes https://www. math. uni-bielefeld. de/~ sek/sem …, 2008 - Citeseer
Since Eilenberg and Moore [EM], the relative homological algebra, especially the
Gorenstein homological algebra ([EJ2]), has been developed to an advanced level. The …
Gorenstein homological algebra ([EJ2]), has been developed to an advanced level. The …
[PDF][PDF] Some characterizations of Gorenstein local rings in terms of G-dimension
R Takahashi - Acta Mathematica Hungarica, 2004 - math.nagoya-u.ac.jp
SOME CHARACTERIZATIONS OF GORENSTEIN LOCAL RINGS IN TERMS OF G-DIMENSION
1. Introduction and Preliminary Throughout the present Page 1 SOME CHARACTERIZATIONS …
1. Introduction and Preliminary Throughout the present Page 1 SOME CHARACTERIZATIONS …
[HTML][HTML] Some criteria for the Gorenstein property
D Hanes, C Huneke - Journal of Pure and Applied Algebra, 2005 - Elsevier
Some criteria for the Gorenstein property - ScienceDirect Skip to main contentSkip to article
Elsevier logo Journals & Books Search RegisterSign in View PDF Download full issue Search …
Elsevier logo Journals & Books Search RegisterSign in View PDF Download full issue Search …
On (strongly) Gorenstein (semi) hereditary rings
N Mahdou, M Tamekkante - Arabian Journal for Science and Engineering, 2011 - Springer
On (Strongly) Gorenstein (Semi)Hereditary Rings Page 1 Arab J Sci Eng (2011) 36:431–440
DOI 10.1007/s13369-011-0047-7 RESEARCH ARTICLE - MATHEMATICS Najib Mahdou …
DOI 10.1007/s13369-011-0047-7 RESEARCH ARTICLE - MATHEMATICS Najib Mahdou …
Coherent rings and Gorenstein FP-injective modules
Z Gao, F Wang - Communications in Algebra, 2012 - Taylor & Francis
In this article, Gorenstein FP-injective modules are introduced and investigated. A left R-
module M is called Gorenstein FP-injective if there is an exact sequence…→ E 1→ E 0→ E …
module M is called Gorenstein FP-injective if there is an exact sequence…→ E 1→ E 0→ E …
Minimal injective and flat resolutions of modules over Gorenstein rings
JZ Xu - Journal of Algebra, 1995 - Elsevier
Over a commutative Noetherian ring R, the Bass invariants μi (p, M) were defined for any
module M and any prime p∈ Spec R by H. Bass (Math. Z. 82, 1963, 8-28). In the first part of …
module M and any prime p∈ Spec R by H. Bass (Math. Z. 82, 1963, 8-28). In the first part of …
Gorenstein injective modules and local cohomology
R Sazeedeh - Proceedings of the American Mathematical Society, 2004 - ams.org
In this paper we assume that $ R $ is a Gorenstein Noetherian ring. We show that if
$(R,\mathfrak {m}) $ is also a local ring with Krull dimension $ d $ that is less than or equal to …
$(R,\mathfrak {m}) $ is also a local ring with Krull dimension $ d $ that is less than or equal to …
Gorenstein homological dimensions of modules over triangular matrix rings
R Zhu, Z Liu, Z Wang - Turkish Journal of Mathematics, 2016 - journals.tubitak.gov.tr
Abstract Let $ A $ and $ B $ be rings, $ U $ a $(B, A) $-bimodule, and $ T=\left (\begin
{smallmatrix} A & 0\\U & B\\\end {smallmatrix}\right) $ the triangular matrix ring. In this paper …
{smallmatrix} A & 0\\U & B\\\end {smallmatrix}\right) $ the triangular matrix ring. In this paper …
All Gorenstein hereditary rings are coherent
Z Gao, F Wang - Journal of Algebra and Its Applications, 2014 - World Scientific
A ring R is called Gorenstein hereditary (G-hereditary) if every submodule of a projective
module is Gorenstein projective (ie Ggldim (R)≤ 1). In this paper, we settle a question …
module is Gorenstein projective (ie Ggldim (R)≤ 1). In this paper, we settle a question …