Remarks on a Goldbach Property

Title
Remarks on a Goldbach Property
Authors
장선주
Keywords
remarksonagoldbachproperty
Issue Date
2012
Publisher
인하대학교
Abstract
Let R be a commutative ring with identity. In this paper, we study Noetherian Boolean rings. We show that if R is a Noetherian Boolean ring, then R is finite and for some integer . If is Noetherian, then is a Noetherian Boolean ring, where is the intersection of all ideals of with . Thus is finite, and hence the set of ideals of with is finite. We also give a short proof of Hayes's result : For every polynomial of degree , there are irreducible polynomials and , each of degree , such that
Description
Abstract Korean Abstract 1. Introduction 1 2. Boolean rings 4 3. Goldbach property 10 References 15
URI
http://dspace.inha.ac.kr/handle/10505/23441
Appears in Collections:
College of Natural Science(자연과학대학) > Mathematics (수학) > Theses(수학 석박사 학위논문)
Files in This Item:
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