HOW FAR IS AN ELEMENT FROM BEING PRIME?

被引：22

作者：

Anderson, David F. ^{[1
]}

Chapman, Scott T. ^{[2
]}

机构：

[1] Univ Tennessee, Dept Math, Knoxville, TN 37996 USA

[2] Sam Houston State Univ, Dept Math & Stat, Huntsville, TX 77341 USA

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2010年 / 9卷 / 05期

关键词：

HFD; UFD; Krull domain; factorization; prime element; elasticity; INTEGRAL-DOMAINS; FACTORIZATION; ELASTICITY; NUMBER; RINGS;

D O I：

10.1142/S0219498810004221

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let D be an integral domain. We investigate two invariants omega(D, x) and omega(D) which measure how far an x is an element of D is from being prime and how far an atomic integral domain D is from being a UFD, respectively. We give a new characterization of number fields with class number two. We also study asymptotic versions of these two invariants.

引用

页码：779 / 789

页数：11

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