On the Graph of Divisibility of an Integral Domain

Canadian mathematical bulletin

Jim Coykendall¹  Jason Greene Boynton² 

[1] Mathematical Sciences, Clemson University, Martin O-103, Clemson, SC 29634-0975, USA;North Dakota State University, Department of Mathematics, Fargo, ND, USA

关键词: atomic;    factorization;    divisibility;   

DOI  :  10.4153/CMB-2014-065-0

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

It is well known that the factorization properties of a domain are reflectedin the structure of its group of divisibility. The main theme of this paperis to introduce a topological/graph-theoretic point of view to the currentunderstanding of factorization in integral domains. We also show thatconnectedness properties in the graph and topological space give rise to ageneralization of atomicity.

【 授权许可】

Unknown