Thesis Title

Powers of Monomial Ideals

Date of Graduation

Spring 1999

Degree

Master of Science in Mathematics

Department

Mathematics

Committee Chair

Kishor Shah

Subject Categories

Mathematics

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.

Copyright

© Rhonda S Haynes

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