HOW FAR IS AN ELEMENT FROM BEING PRIME?-Reference-Cited by-同舟云学术

HOW FAR IS AN ELEMENT FROM BEING PRIME?

Published:2010-10 Issue:05 Volume:09 Page:779-789
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

ANDERSON DAVID F.¹,CHAPMAN SCOTT T.²

Affiliation:

1. University of Tennessee, Department of Mathematics, Knoxville, TN 37996-1300, USA

2. Sam Houston University, Department of Mathematics and Statistics, Box 2206, Huntsville, TX 77341-2206, USA

Abstract

Let D be an integral domain. We investigate two invariants ω(D, x) and ω(D) which measure how far an x ∈ 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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498810004221

Reference18 articles.

1. Elasticity of factorizations in integral domains

2. Factorization in integral domains, II

3. Factorization inK[X 2,X 3]

4. Length functions on integral domains

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