-stable submodules of top local cohomology modules of Gorenstein rings
M Katzman - arXiv preprint math/0602550, 2006 - arxiv.org
This paper applies G. Lyubeznik's notion of $ F $-finite modules to describe in a very down-
to-earth manner certain annihilator submodules of some top local cohomology modules over …
to-earth manner certain annihilator submodules of some top local cohomology modules over …
GC-projectivity and injectivity under Frobenius extensions
Z Zhao - Communications in Algebra, 2022 - Taylor & Francis
In this article, we prove that Gorenstein projectivity and injectivity with respect to a
semidualizing module are preserved under Frobenius extensions. Furthermore, we obtain …
semidualizing module are preserved under Frobenius extensions. Furthermore, we obtain …
Trace ideals and the Gorenstein property
H Lindo, N Pande - arXiv preprint arXiv:1802.06491, 2018 - arxiv.org
arXiv:1802.06491v2 [math.AC] 7 Apr 2018 Page 1 arXiv:1802.06491v2 [math.AC] 7 Apr 2018
TRACE IDEALS AND THE GORENSTEIN PROPERTY HAYDEE LINDO AND NINA PANDE …
TRACE IDEALS AND THE GORENSTEIN PROPERTY HAYDEE LINDO AND NINA PANDE …
[PDF][PDF] The Gorenstein projective modules are precovering
P Jorgensen - arXiv preprint math/0312263, 2003 - arxiv.org
arXiv:math/0312263v1 [math.RA] 12 Dec 2003 Page 1 arXiv:math/0312263v1 [math.RA] 12
Dec 2003 THE GORENSTEIN PROJECTIVE MODULES ARE PRECOVERING PETER …
Dec 2003 THE GORENSTEIN PROJECTIVE MODULES ARE PRECOVERING PETER …
[引用][C] Strongly Gorenstein-injective modules over Morita rings
D Asefa - Journal of Algebra and Its Applications, 2023 - World Scientific
In this paper, we consider Morita rings with zero bimodule homomorphisms. We establish
necessary and sufficient conditions for all strongly complete injective resolutions over a …
necessary and sufficient conditions for all strongly complete injective resolutions over a …
Rings without a Gorenstein analogue of the Govorov–Lazard theorem
H Holm, P Jørgensen - Quarterly journal of mathematics, 2011 - ieeexplore.ieee.org
It was proved by Beligiannis and Krause that over certain Artin algebras, there are
Gorenstein flat modules which are not direct limits of finitely generated Gorenstein projective …
Gorenstein flat modules which are not direct limits of finitely generated Gorenstein projective …
Gorenstein flat and projective (pre) covers
S Estrada, A Iacob, S Odabasi - arXiv preprint arXiv:1508.04173, 2015 - arxiv.org
arXiv:1508.04173v1 [math.AC] 17 Aug 2015 Page 1 arXiv:1508.04173v1 [math.AC] 17 Aug
2015 GORENSTEIN FLAT AND PROJECTIVE (PRE)COVERS S. ESTRADA, A. IACOB, S …
2015 GORENSTEIN FLAT AND PROJECTIVE (PRE)COVERS S. ESTRADA, A. IACOB, S …
Gorenstein injective resolutions, Cousin complexes and top local cohomology modules
K Khashyarmanesh - Algebra Colloquium, 2009 - World Scientific
Let R be a Gorenstein local ring. We show that for a balanced big Cohen–Macaulay module
M over R, the Cousin complex provides a Gorenstein injective resolution of M. Also, over a d …
M over R, the Cousin complex provides a Gorenstein injective resolution of M. Also, over a d …
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 …
R-module M, we show that M is Gorenstein injective if and only if Hom R (Ȓ, M) belongs to …