On the finiteness of Bass numbers of local cohomology modules-Reference-Cited by-同舟云学术

On the finiteness of Bass numbers of local cohomology modules

Published:1996 Issue:11 Volume:124 Page:3275-3279
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Kawasaki Ken-ichiroh

Abstract

In this note we show that, if I I is an ideal of dimension 1 of an analytically irreducible local ring, then the Bass numbers of local cohomology modules with support in V ( I ) V(I) are finite.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1996-124-11/S0002-9939-96-03399-0/S0002-9939-96-03399-0.pdf

Reference19 articles.

1. On the ubiquity of Gorenstein rings;Bass, Hyman;Math. Z.,1963

2. Actualit\'{e}s Scientifiques et Industrielles [Current Scientific and Industrial Topics], No. 1290;Bourbaki, N.,1961

3. On the cofiniteness of local cohomology modules;Delfino, Donatella;Math. Proc. Cambridge Philos. Soc.,1994

4. Lecture Notes in Mathematics, No. 41;Hartshorne, Robin,1967

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