摘要

Let I subset of K[x, y] be a < x, y >- primary monomial ideal where K is a field. This paper produces an algorithm for computing the Ratliff-Rush closure (I) over tilde for the ideal I = < m(0),..., m(n)> whenever mi is contained in the integral closure of the ideal < x(an), y(b0)>. This generalizes of the work of Crispin [2]. Also, it provides generalizations and answers for some questions given in [6], and enables us to construct infinite families of Ratliff-Rush ideals.

  • 出版日期2009-8