Asymptotic behavior of associated primes of certain ext modules

Authors : Kamal BAHMANPOUR, Reza NAGHİPOUR, Mehdi SEHATKHAH

Pages : 1329-1334

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Publication Date : 2016-10-01

Article Type : Research Paper

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 $Ass_R Ext^i_Rinsert ignore into journalissuearticles values(R/I^n , M);$, $n = 1, 2, . . . ,$ becomes independent of $n$, for large $n$. 
Keywords : Artinian module, Associated prime, Depth, Noetherian module