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Title: Divisibility conditions in commutative rings with zerodivisors
Authors: Anderson, David F. 
Badawi, Ayman 
Keywords: Divisibility conditions;Commutative rings - Chain conditions;Commutative rings;Divisor theory
Issue Date: 2002
Publisher: Communications in Algebra
Abstract: Let R be a commutative ring. In this paper, we give several divisibility and ring-theoretic conditions for R or TðRÞ to be either zero-dimensional or von Neumann regular. We also consider divisibility conditions related to R being completely integrally closed and study several closedness conditions which hold with respect to units of TðRÞ.
DOI: 10.1081/AGB-120005834
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