Bulletin of the Belgian Mathematical Society - Simon Stevin

Attached primes and Artinian modules

Naser Pourreza and Jafar A'zami

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In this paper, we calculate the annihilator of an Artinian module over a complete local ring; moreover, we present a certain generalization of Grothendieck's Non-Vanishing Theorem for local cohomology modules over a local ring which is the homomorphic image of a Gorenstein local ring. Finally, as application of our results, we study the finiteness of local cohomology modules.

Article information

Bull. Belg. Math. Soc. Simon Stevin, Volume 25, Number 1 (2018), 63-70.

First available in Project Euclid: 11 April 2018

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Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 13D45: Local cohomology [See also 14B15] 14B15: Local cohomology [See also 13D45, 32C36] 13E05: Noetherian rings and modules

Attached primes Artinian modules Krull dimension Local cohomology


Pourreza, Naser; A'zami, Jafar. Attached primes and Artinian modules. Bull. Belg. Math. Soc. Simon Stevin 25 (2018), no. 1, 63--70. doi:10.36045/bbms/1523412053. https://projecteuclid.org/euclid.bbms/1523412053

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