环的强零因子图的一个注记(英文)  

A Note on Strong Zero-divisor Graphs of Rings

作　　者：赵贤[1] 唐高华[2] 

机构地区：[1]梧州学院数理系 [2]广西师范学院数学与计算机科学系

出　　处：《广西师范学院学报（自然科学版）》2008年第4期15-17,27,共4页Journal of Guangxi Teachers Education University(Natural Science Edition)

基　　金：Supported by National Natural Science Foundation of China(10771095);Guangxi Natural Science Foundation(0575052,0832107);Innovation Project of Guangxi Graduate Education(2007106030701M15);Scientific Research Foundation of Guangxi Educational Committee

摘　　要：一个环R的一个元a叫做一个强零因子,假如对R中的某个非零元b,有An dement a in a ring R is caled a strong zero-divisor if either 〈 α 〉 〈 b 〉 = 0 or 〈 b 〉 〈 α 〉 = 0, for someO≠b∈R（〈x〉 is the ideal generated by x∈R）. Let S（R） denote the set of strong zero-divisors of R. The strong zero-divisor graph .~Г （R） is an undirected graph with vertices S （R）^＊ （ = S （R） - { 0 } ）, where distinct vertices a and b are adjacent if and only if either 〈 α 〉 〈 b 〉 = 0 or 〈 b 〉 〈 α 〉 = 0. In this note, we study the number of cliques of the strong zero-divlsor graph of a direct product of prime rings.

关 键 词：强零因子 强零因子图 团数 

分 类 号：O153.3[理学—数学]