Powers of Monomial Ideals
Date of Graduation
Master of Science in Mathematics
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.
© Rhonda S Haynes
Haynes, Rhonda S., "Powers of Monomial Ideals" (1999). MSU Graduate Theses. 870.