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2007β€’Algebra ColloquiumRequires access

Some Rigidity Results for Highest Order Local Cohomology Modules

Mohammad T. Dibaei, Siamak Yassemi

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Abstract

Let R be a commutative Noetherian ring, π”ž an ideal of R, and M a finitely generated R-module of finite Krull dimension n. We describe the (finite) sets [Formula: see text] and [Formula: see text] of primes associated and attached to the highest local cohomology module [Formula: see text] in terms of the local formal behaviour of π”ž.

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What this paper is about

Let R be a commutative Noetherian ring, π”ž an ideal of R, and M a finitely generated R-module of finite Krull dimension n. We describe the (finite) sets [Formula: see text] and [Formula: see text] of primes associated and attached to the highest local cohomology module [Formula: see text] in terms of the local formal behaviour of π”ž.

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Available abstract

Let R be a commutative Noetherian ring, π”ž an ideal of R, and M a finitely generated R-module of finite Krull dimension n. We describe the (finite) sets [Formula: see text] and [Formula: see text] of primes associated and attached to the highest local cohomology module [Formula: see text] in terms of the local formal behaviour of π”ž.

Key concepts: Mathematics, Krull dimension, Local cohomology, Local ring, Noetherian ring, Regular local ring, Noetherian, Pure mathematics

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