%0 Journal Article
%T An Algorithm for Computing the Ratliff-Rush Closure
%A Ibrahim Al-Ayyoub
%J Mathematics
%D 2010
%I arXiv
%X Let I\subset 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 for the ideal I=<m_0,...,m_{n}> whenever m_{i} is contained in the integral closure of the ideal <x^{a_{n}},y^{b_0}>. This generalizes of the work of Crispin \cite{Cri}. Also, it provides generalizations and answers for some questions given in \cite{HJLS}, and enables us to construct infinite families of Ratliff-Rush ideals.
%U http://arxiv.org/abs/1009.0788v1