臺灣博碩士論文加值系統

本篇文章是要討論二項式理想在多項式環和Laurent多項式環的一些性質，也知道二項式理想跟partial character有一一對應，而且更進一步知道根號二項式理想還是二項式理想

In this thesis, we study some properties of binomial ideals in polynomial
rings and Laurent polynomial rings and find that there is a one-to-one cor-
respondence between binomial ideals in Laurent polynomial rings and the
partial character of sublattice in Zn . Moreover, we also prove that the radical
of a binomial ideal in polynomial rings is still a binomial ideal.

1 Introduction 3
2 Monomials and Monomial Orders 6
3 Monomial Ideals 10
4 Gr‥obner Basis 15
5 Binomial Ideals in Polynomial Rings 23
6 Binomial Ideals in Laurent Polynomial Rings 31
7 Comparison between Monomial Ideals and Binomial Ideals 43

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