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Cofiniteness of composed local cohomology modules
-
Amir Mafi
Veröffentlicht/Copyright:
3. Januar 2013
Abstract.
Let R be a commutative Noetherian ring,
be two ideals of R and M be a finitely generated
R-module. We prove that 
is
-cofinite for all i and j in the following cases: (1)
and 
, (2) 
and
. In case (1), we also prove that
is Artinian for all i and j.
Additionally, we show that if and 
and n is a non-negative integer such that
is finitely generated for all 
, then
is -cofinite.
Keywords: Local cohomology modules; cofinite modules
Received: 2010-02-23
Revised: 2011-02-05
Published Online: 2013-01-03
Published in Print: 2013-01-01
© 2013 by Walter de Gruyter Berlin Boston
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- Isomorphism criteria for Witt rings of real fields
- Simplicial differential calculus, divided differences, and construction of Weil functors
- Rank 3 permutation characters and maximal subgroups
- On the oscillation and nonoscillation of the solutions of impulsive differential equations of second order with retarded argument
- A note on the existence of transition probability densities of Lévy processes
- Carleson measures and Logvinenko–Sereda sets on compact manifolds
- Cofiniteness of composed local cohomology modules
- Real hypersurfaces of type (A) in complex two-plane Grassmannians related to the commuting shape operator
- Deconstructibility and the Hill Lemma in Grothendieck categories
Artikel in diesem Heft
- Masthead
- Isomorphism criteria for Witt rings of real fields
- Simplicial differential calculus, divided differences, and construction of Weil functors
- Rank 3 permutation characters and maximal subgroups
- On the oscillation and nonoscillation of the solutions of impulsive differential equations of second order with retarded argument
- A note on the existence of transition probability densities of Lévy processes
- Carleson measures and Logvinenko–Sereda sets on compact manifolds
- Cofiniteness of composed local cohomology modules
- Real hypersurfaces of type (A) in complex two-plane Grassmannians related to the commuting shape operator
- Deconstructibility and the Hill Lemma in Grothendieck categories
