Powers of Monomial Ideals
Date of Graduation
Spring 1999
Degree
Master of Science in Mathematics
Department
Mathematics
Committee Chair
Kishor Shah
Abstract
We study monomial ideals in polynomial rings in two variables x, y over a field K. We determine various monomial ideals I such that Ik = (Mn)k where M is the maximal ideal generated by x, y and k is the least such integer. This is related to the well-known notion of Ratliff-Rush closures of an ideal I. We calculate the Hilbert Polynomial of certain monomial ideals. Ou approach is algebraic as well as geometric.
Subject Categories
Mathematics
Copyright
© Rhonda S Haynes
Recommended Citation
Haynes, Rhonda S., "Powers of Monomial Ideals" (1999). MSU Graduate Theses. 870.
https://bearworks.missouristate.edu/theses/870
Dissertation/Thesis
