View : 36 Download: 0

Integrally Closed Ideals and Some Examples

Title
Integrally Closed Ideals and Some Examples
Authors
조미영
Issue Date
1996
Department/Major
대학원 수학과
Keywords
IntegrallyClosed IdealSome Examples
Publisher
이화여자대학교 대학원
Degree
Master
Abstract
Let (R, m) be a 2-dimensional regular local ring with the residue field k. An integrally closed ideal is a contracted ideal but the converse is not true in general. In this thesis we review various properties of contracted ideals and those of integrally closed ideals. We also find various examples which illustrate various properties of integrally closed ideals and contracted ideals. In particular, we construct some examples of contracted ideals that are not integrally closed, and then find the integral closures of those ideals. Transforms of integrally closed ideals are also integrally closed ideals. We study properties of the transforms of integrally closed ideals and we find some related examples.;(R, m)을 2차원적 정규국소환이라 하자. 일반적으로 integrally closed ideal을 contracted ideal이지만 그 역은 성립하지 않는다. 이 논문에서 우리는 contracted ideal들과 integrally closed ideal들의 다양한 성질들을 살펴보고 그 성질들을 설명해주는 여러 가지 예들을 찾는다. 그리고 integrally closed idea의 변환이 integrally closed ideal이기 때문에 integrally closed ideal의 변환에 관한 성질을 공부하고 그것에 관계되는 예들을 찾는다.
Fulltext
Show the fulltext
Appears in Collections:
일반대학원 > 수학과 > Theses_Master
Files in This Item:
There are no files associated with this item.
Export
RIS (EndNote)
XLS (Excel)
XML


qrcode

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

BROWSE