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arXiv · 1304.0063

On the graph of divisibility of an integral domain

Jason Greene Boynton·Jim Coykendall
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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.

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Jason Greene Boynton, Jim Coykendall. 2013-03-30. On the graph of divisibility of an integral domain. https://doi.org/10.4153/cmb-2014-065-0

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