On the graph of divisibility of an integral domain
Commutative Algebra
2019-07-22 v1
Abstract
It is well-known that the factorization properties of a domain are reflected in the structure of its group of divisibility. The main theme of this paper is to introduce a topological/graph-theoretic point of view to the current understanding of factorization in integral domains. We also show that connectedness properties in the graph and topological space give rise to a generalization of atomicity.
Keywords
Cite
@article{arxiv.1304.0063,
title = {On the graph of divisibility of an integral domain},
author = {Jason Greene Boynton and Jim Coykendall},
journal= {arXiv preprint arXiv:1304.0063},
year = {2019}
}
Comments
9 pages