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

  Stability of Associated Primes of Monomial Ideals

Lê Tuân Hoa

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

2000 Mathematics Subject Classification: 13A15, 13D45.

Keywords: Associated prime, monomial ideal.

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