M. P. Brodmann, Ali Lashgari Faghani
Abstract
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We show that the first non-finitely generated local cohomology module $H^i_\mathfrak {a} (M)$ of a finitely generated module $M$ over a noetherian ring $R$ with respect to an ideal $\mathfrak {a}\subseteq R$ has only finitely many associated primes.
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We show that the first non-finitely generated local cohomology module $H^i_\mathfrak {a} (M)$ of a finitely generated module $M$ over a noetherian ring $R$ with respect to an ideal $\mathfrak {a}\subseteq R$ has only finitely many associated primes.
Key concepts: Local cohomology, Mathematics, Finitely-generated abelian group, Noetherian ring, Ideal (ethics), Noetherian, Pure mathematics, Local ring