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《Journal of Sichuan University of Science & Engineering(Natural Science Edition)》 2014-01
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The Least Order of Non-Armendariz Ring

HE Jianwei;SHAO Haiqin;GUO Liqin;WANG Limei;School of Mathematics and Statistic,Tianshui Normal University;  
According to the isomorphism classification of finite ring,and two sufBcient conditions for deciding Armendariz ring,the least order of non-Annendariz ring is studied.Then it can be concluded that the least order of non-Annendariz ring is four,the least order of non-Armendariz ring is eight when the ring is commutative.Finally,the structures of these rings that have the least orders are presented.
【Fund】: 天水师范学院中青年教师科研资助项目(4012012010005)
【CateGory Index】: O153.3
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1 ZHANG Zhi-bing,RUAN Ji,LIANG Ying(School of Mathematics Sciences,Anhui University,Hefei 230601,China);Utilizing the Properties of Residue Class Ring to Solve Several Probability Problems in Determinant[J];Journal of Anqing Teachers College(Natural Science Edition);2011-02
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