Stability of associated primes of integral closures of monomial ideals

  • Authors:

  • Tran Nam Trung

  • Affiliations:

  • Institute of Mathematics Hanoi, 18 Hoang Quoc Viet road, 10307 Hanoi, Viet Nam

  • Venue:
  • Journal of Combinatorial Theory Series A
  • Year:
  • 2009

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Abstract

Let I be a monomial ideal of a polynomial ring R=K[X"1,...,X"r] and d(I) the maximal degree of minimal generators of I. In this paper, we explicitly determine a number n"0 in terms of r and d(I) such that Ass(R/I^n@?)=Ass(R/I^n^"^0@?) for all n=n"0. Furthermore, our n"0 is almost sharp.