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Vietnam Journal of Mathematics 34:4(2006) 473-487

 Stability of Associated Primes of Monomial Ideals

Le Tuan Hoa

Abstract.  Let $I$ be a monomial ideal of a polynomial ring $R$. In this paper we determine a number $B$ such that $\Ass (I^n/I^{n+1}) = \Ass (I^{B}/I^{B+1})$ for all $n\geq B$.

 

2000 Mathematics Subject Classification: 13A15, 13D45.

Keywords: Associated prime, monomial ideal.

 
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