Research Article

Asymptotic behavior of associated primes of certain ext modules

Volume: 45 Number: 5 October 1, 2016
EN

Asymptotic behavior of associated primes of certain ext modules

Abstract

Let R be a commutative Noetherian ring, I an ideal of R and M a finitely generated R-module. It is shown that, whenever I is principal, then for each integer $i$ the set of associated prime ideals $Ass_R Ext^i_R(R/I^n , M)$, $n = 1, 2, . . . ,$ becomes independent of $n$, for large $n$. 

Keywords

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Kamal Bahmanpour This is me

Mehdi Sehatkhah This is me

Publication Date

October 1, 2016

Submission Date

July 20, 2015

Acceptance Date

November 24, 2015

Published in Issue

Year 2016 Volume: 45 Number: 5

APA
Bahmanpour, K., Naghipour, R., & Sehatkhah, M. (2016). Asymptotic behavior of associated primes of certain ext modules. Hacettepe Journal of Mathematics and Statistics, 45(5), 1329-1334. https://izlik.org/JA29NP96PD
AMA
1.Bahmanpour K, Naghipour R, Sehatkhah M. Asymptotic behavior of associated primes of certain ext modules. Hacettepe Journal of Mathematics and Statistics. 2016;45(5):1329-1334. https://izlik.org/JA29NP96PD
Chicago
Bahmanpour, Kamal, Reza Naghipour, and Mehdi Sehatkhah. 2016. “Asymptotic Behavior of Associated Primes of Certain Ext Modules”. Hacettepe Journal of Mathematics and Statistics 45 (5): 1329-34. https://izlik.org/JA29NP96PD.
EndNote
Bahmanpour K, Naghipour R, Sehatkhah M (October 1, 2016) Asymptotic behavior of associated primes of certain ext modules. Hacettepe Journal of Mathematics and Statistics 45 5 1329–1334.
IEEE
[1]K. Bahmanpour, R. Naghipour, and M. Sehatkhah, “Asymptotic behavior of associated primes of certain ext modules”, Hacettepe Journal of Mathematics and Statistics, vol. 45, no. 5, pp. 1329–1334, Oct. 2016, [Online]. Available: https://izlik.org/JA29NP96PD
ISNAD
Bahmanpour, Kamal - Naghipour, Reza - Sehatkhah, Mehdi. “Asymptotic Behavior of Associated Primes of Certain Ext Modules”. Hacettepe Journal of Mathematics and Statistics 45/5 (October 1, 2016): 1329-1334. https://izlik.org/JA29NP96PD.
JAMA
1.Bahmanpour K, Naghipour R, Sehatkhah M. Asymptotic behavior of associated primes of certain ext modules. Hacettepe Journal of Mathematics and Statistics. 2016;45:1329–1334.
MLA
Bahmanpour, Kamal, et al. “Asymptotic Behavior of Associated Primes of Certain Ext Modules”. Hacettepe Journal of Mathematics and Statistics, vol. 45, no. 5, Oct. 2016, pp. 1329-34, https://izlik.org/JA29NP96PD.
Vancouver
1.Kamal Bahmanpour, Reza Naghipour, Mehdi Sehatkhah. Asymptotic behavior of associated primes of certain ext modules. Hacettepe Journal of Mathematics and Statistics [Internet]. 2016 Oct. 1;45(5):1329-34. Available from: https://izlik.org/JA29NP96PD