Cohomology theories based on Gorenstein injective modules
J Asadollahi, S Salarian - Transactions of the American Mathematical …, 2006 - ams.org
In this paper we study relative and Tate cohomology of modules of finite Gorenstein injective
dimension. Using these cohomology theories, we present variations of Grothendieck local …
dimension. Using these cohomology theories, we present variations of Grothendieck local …
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 projective dimension for complexes
O Veliche - Transactions of the American Mathematical Society, 2006 - ams.org
We define and study a notion of Gorenstein projective dimension for complexes of left
modules over associative rings. For complexes of finite Gorenstein projective dimension we …
modules over associative rings. For complexes of finite Gorenstein projective dimension we …
Absolute, relative, and Tate cohomology of modules of finite Gorenstein dimension
LL Avramov, A Martsinkovsky - Proceedings of the London …, 2002 - cambridge.org
We study finitely generated modules has finite projective dimension. Comparison
morphisms and link these functors. We give a self-contained treatment of modules of finite G …
morphisms and link these functors. We give a self-contained treatment of modules of finite G …
[PDF][PDF] Linkage and duality of modules
K Nishida - Math. J. Okayama Univ, 2009 - math.okayama-u.ac.jp
Martsinkovsky and Strooker [13] recently introduced module theoretic linkage using syzygy
and transpose. This generalization brings possibility of much application of linkage …
and transpose. This generalization brings possibility of much application of linkage …
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 …
[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 …
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 …
Linkage of modules with respect to a semidualizing module
MT Dibaei, A Sadeghi - Pacific Journal of Mathematics, 2018 - msp.org
The notion of linkage with respect to a semidualizing module is introduced. This notion
enables us to study the theory of linkage for modules in the Bass class with respect to a …
enables us to study the theory of linkage for modules in the Bass class with respect to a …
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 …