Matlis duals of top Local Cohomology Modules

Details Matlis duals of top Local Cohomology Modules Matlis duals of top Local Cohomology Modules

2012-04-17

arxiv.org/abs/1204.3776v2

Proc. Amer. Math. Soc. 136 (2008), no. 2, 489-498

Mathematics

Commutative Algebra

First published in Proceedings of the American Mathematical Society in Volume 136, Number 2, published by the American Mathema

Scientific paper

In the first section of this paper we present generalizations of known results on the set of associated primes of Matlis duals of local cohomology modules; we prove these generalizations by using a new technique. In section 2 we compute the set of associated primes of the Matlis dual of $\LCMo ^{d-1}_J(R)$, where $R$ is a $d$-dimensional local ring and $J\subseteq R$ an ideal such that $\dim (R/J)=1$ and $\LCMo ^d_J(R)=0$.

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