Classifying Subatomic Domains
Commutative Algebra
2016-10-20 v1
Abstract
In general, ring theory is focused on atomic rings, i.e. rings in which every element has some factorization into irreducible elements. In a recent paper of Boynton and Coykendall \cite{BC}, the two authors introduce two properties that are slightly weaker than atomicity, which they call "almost atomicity" and "quasiatomicity". In this paper, we classify various subatomic properties and show that they are all distinct.
Keywords
Cite
@article{arxiv.1610.05874,
title = {Classifying Subatomic Domains},
author = {Noah Lebowitz-Lockard},
journal= {arXiv preprint arXiv:1610.05874},
year = {2016}
}
Comments
10 pages, 1 figure