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《Journal of Guangxi Normal University(Natural Science Edition)》 2016-01
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Properties of Zero-divisor Graphs of Idealizations of Group Rings Z_nG

GUO Shufeng;XIE Guangming;YI Zhong;School of Mathematical Sciences,Capital Normal University;College of Mathematics and Statistics,Guangxi Normal University;Guilin University of Aerospace Technology;  
It is very important to understand the structure of the ring itself by studying the zero-divisor graph of a ring to clearly and intuitively describe the structure of its zero-divisors by means of graph.Let Gbe a cyclic group of prime order,Z_n G group rings of Gover Z_n and Δ(G)augmentation ideals of Z_nG.Properties of zero-divisor graphs of idealizations of Z_n G with respect toΔ(G)are discussed in this paper.It provides detailed descriptions of the girth,the diameter and the planarity of zero-divisor graphs of idealizations of Z_n G,respectively.
【Fund】: 国家自然科学基金资助项目(11161005);; 北京市教育委员会科技计划重点项目(KZ201410028033)
【CateGory Index】: O153.3
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