Abstract
dc:description.abstractWe 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.
Degree
thesis:*- Name thesis:degree_name
- Master of Science in Mathematics
- Level thesis:degree_level
- Masters
- Discipline thesis:degree_discipline
- Mathematics
- Year
- 1999
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Haynes, Rhonda S.
- Contributors dc:contributor
-
- Kishor Shah
Subjects
dc:subject × 1Rights
dc:rights- Statement dc:rights
-
- © Rhonda S Haynes
Identifiers
dc:identifier.*- Repository record dc:identifier
- https://bearworks.missouristate.edu/theses/870
- OAI identifier oai:identifier
- oai:bearworks.missouristate.edu:theses-1871