An Algorithm for Computing the Ratliff-Rush Closure
Commutative Algebra
2010-09-07 v1
Abstract
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.
Cite
@article{arxiv.1009.0788,
title = {An Algorithm for Computing the Ratliff-Rush Closure},
author = {Ibrahim Al-Ayyoub},
journal= {arXiv preprint arXiv:1009.0788},
year = {2010}
}