On the finiteness of associated primes of local cohomology modules

Author:
Pham Hung Quy

Journal:
Proc. Amer. Math. Soc. **138** (2010), 1965-1968

MSC (2010):
Primary 13D45, 13E99

DOI:
https://doi.org/10.1090/S0002-9939-10-10235-4

Published electronically:
February 12, 2010

MathSciNet review:
2596030

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Abstract | References | Similar Articles | Additional Information

Abstract: Let be a Noetherian ring, be an ideal of and be a finitely generated -module. The aim of this paper is to show that if is the least integer such that neither nor is non-finite, then has finitely many associated primes. This combines the main results of Brodmann and Faghani and independently of Khashyarmanesh and Salarian.

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Additional Information

**Pham Hung Quy**

Affiliation:
Department of Mathematics, FPT University (Dai Hoc FPT), 15B Pham Hung Street, Ha Noi, Vietnam

Email:
phamhungquy@gmail.com, quyph@fpt.edu.vn

DOI:
https://doi.org/10.1090/S0002-9939-10-10235-4

Keywords:
Local cohomology,
associated primes.

Received by editor(s):
March 23, 2009

Received by editor(s) in revised form:
October 1, 2009

Published electronically:
February 12, 2010

Communicated by:
Bernd Ulrich

Article copyright:
© Copyright 2010
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.