Uniform annihilation of local cohomology modules over a Gorenstein ring
K Khashyarmanesh, S Salarian - Communications in Algebra®, 2006 - Taylor & Francis
Full article: Uniform Annihilation of Local Cohomology Modules Over a Gorenstein Ring
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Faltings' theorem for the annihilation of local cohomology modules over a Gorenstein ring
K Khashyarmanesh, S Salarian - Proceedings of the American …, 2004 - ams.org
FALTINGS’ THEOREM FOR THE ANNIHILATION OF LOCAL COHOMOLOGY MODULES OVER
A GORENSTEIN RING 1. Introduction Let A be a commutati Page 1 PROCEEDINGS OF THE …
A GORENSTEIN RING 1. Introduction Let A be a commutati Page 1 PROCEEDINGS OF THE …
Faltings' local–global principle for the in dimension <n of local cohomology modules
R Naghipour, R Maddahali… - Communications in …, 2018 - Taylor & Francis
The concept of Faltings' local–global principle for the in dimension< n of local cohomology
modules over a Noetherian ring R is introduced, and it is shown that this principle holds at …
modules over a Noetherian ring R is introduced, and it is shown that this principle holds at …
Generalized local cohomology modules and homological Gorenstein dimensions
K Divaani-Aazar, A Hajikarimi - Communications in Algebra®, 2011 - Taylor & Francis
Let 𝔞 be an ideal of a commutative Noetherian ring R and M and N two finitely generated R-
modules. Let cd𝔞 (M, N) denote the supremum of the i's such that. First, by using the theory …
modules. Let cd𝔞 (M, N) denote the supremum of the i's such that. First, by using the theory …
On the existence of certain modules of finite Gorenstein homological dimensions
K Divaani-Aazar, FM Aghjeh Mashhad… - Communications in …, 2014 - Taylor & Francis
Let (R, 𝔪) be a commutative Noetherian local ring. It is known that R is Cohen–Macaulay if
there exists either a nonzero finitely generated R-module of finite injective dimension or a …
there exists either a nonzero finitely generated R-module of finite injective dimension or a …
Vanishing of cohomology over Gorenstein rings of small codimension
L Şega - Proceedings of the American Mathematical Society, 2003 - ams.org
We prove that if $ M $, $ N $ are finite modules over a Gorenstein local ring $ R $ of
codimension at most $4 $, then the vanishing of $\operatorname {Ext}^ n_R (M, N) $ for …
codimension at most $4 $, then the vanishing of $\operatorname {Ext}^ n_R (M, N) $ for …
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 …
On Gorenstein injectivity of top local cohomology modules
T Yoshizawa - Proceedings of the American Mathematical Society, 2012 - ams.org
R. Sazeedeh showed that top local cohomology modules are Gorenstein injective in a
Gorenstein local ring with at most two dimensions. In this paper, it is proved that the …
Gorenstein local ring with at most two dimensions. In this paper, it is proved that the …
On vanishing of generalized local cohomology modules
K Divaani-Aazar, R Sazeedeh, M Tousi - Algebra Colloquium, 2005 - World Scientific
On Vanishing of Generalized Local Cohomology Modules Page 1 Algebra Colloquium c© 2005
AMSS CAS & SUZHOU UNIV Algebra Colloquium 12:2 (2005) 213–218 On Vanishing of …
AMSS CAS & SUZHOU UNIV Algebra Colloquium 12:2 (2005) 213–218 On Vanishing of …
A Bass formula for Gorenstein injective dimension
L Khatami, S Yassemi - Communications in Algebra®, 2007 - Taylor & Francis
A Bass Formula for Gorenstein Injective Dimension Page 1 Communications in Algebra®, 35:
1882–1889, 2007 Copyright © Taylor & Francis Group, LLC ISSN: 0092-7872 print/1532-4125 …
1882–1889, 2007 Copyright © Taylor & Francis Group, LLC ISSN: 0092-7872 print/1532-4125 …