Geodesic
On the Graph of Divisibility of an Integral Domain
Canadian mathematical bulletin, Tome 58 (2015) no. 3, pp. 449-458

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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.
DOI : 10.4153/CMB-2014-065-0
Mots-clés : 13F15, 13A05, atomic, factorization, divisibility 
Boynton, Jason Greene; Coykendall, Jim. On the Graph of Divisibility of an Integral Domain. Canadian mathematical bulletin, Tome 58 (2015) no. 3, pp. 449-458. doi: 10.4153/CMB-2014-065-0
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     title = {On the {Graph} of {Divisibility} of an {Integral} {Domain}},
     journal = {Canadian mathematical bulletin},
     pages = {449--458},
     year = {2015},
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     number = {3},
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     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2014-065-0/}
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