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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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Chinese Journal Full-text Database 4 Hits
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2 WU Hui-feng(College of Science,Hangzhou Normal University,Hangzhou 310036,China);On Weak 3-Armendariz Rings[J];Journal of Hangzhou Normal University(Natural Science Edition);2012-03
3 ZHANG Xue zhe;The Ismorphism Classify of Four-element Rings[J];The Journal of Shanxi Teachers University(Natural Science Edition);2002-04
4 XIE Xiao-juan,SONG Xian-mei(Department of Mathematics,Anhui Normal University,Wuhu 241003,China);On Central Weak Armendariz Rings[J];Journal of Zhengzhou University(Natural Science Edition);2012-02
Chinese Journal Full-text Database 10 Hits
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
2 FAN Ai-qin (Department of Mathematics,The Normal Branch of Yuncheng University,Yuncheng 044000,Shanxi,China);The existence of the normal sylow subgroups in p~mq~n order(1≤m,n≤3,p,q is a prime number) groups[J];Journal of Baoji University of Arts and Sciences(Natural Science Edition);2010-01
3 MENG Biao-long1,Akram M2(1.Xian University of Science and Technology,Xi’an 710054,China;2. Punjab University College of Information Technology,University of the Punjab,Old Campus,P.O.Box,Lahore Pakistan 54000,);(∈,∈∨q)-Fuzzy BCK-filters[J];Pure and Applied Mathematics;2009-01
4 GU Yan-hong(College of Science,Beijing Forestry University,Beijing 100083,China);The subgroups of regular polygons symmetry group[J];Pure and Applied Mathematics;2011-02
5 XUE Jian-ming(School of Mathematics & Computer Science,Sun Yat-sen University,Guangzhou 510275,China);2-normed group[J];Journal of Chongqing Institute of Technology(Natural Science);2009-04
6 ZHANG Jing-xiao(Department of Mathematics,Dezhou University,Dezhou Shandong 253023,China);Complete Classification of all Groups of Order p~2 in the Isomorphism Sense[J];Journal of Dezhou University;2008-02
7 ZHANG Jing-xiao(Department of Mathematics,Dezhou University,Dezhou Shandong 253023,China);Structure of Group of Order pq and its Order of a Element[J];Journal of Dezhou University;2009-02
8 ZHANG Jing-xiao(Department of Mathematics,Dezhou University,Dezhou Shandong 253023,China);Greatest Common Factor of Elements in the Gauss Integral Ring Z[i]and Its Solution[J];Journal of Dezhou University;2011-02
9 JIANG Chun-tao1,XIN Xiao-long1,ZHAO Lu-yi2(1.Department of Mathematics,Northwestern University,Xi′an 710127,China;2.Shaanxi Provincial Productivity Promotion Center,Xi′an 710054,China);Negacyclic codes and self-dual codes over Z_m[J];Basic Sciences Journal of Textile Universities;2008-04
10 LU Si-hai(Water Conservancy and Water Electricity School of Jiangxi,Nanchang 330038,China);Idealistic structure in integers mod n[J];Journal of Foshan University(Natural Science Edition);2008-03
【Secondary Citations】
Chinese Journal Full-text Database 2 Hits
1 LI Xiao-long,WU Jun(College of Mathematics and Computer Science,Anhui Normal University,Wuhu 241000,China);On Strong Regularity of Quasi ZI-Rings[J];Journal of Anhui Normal University(Natural Science);2011-01
2 Zhang Cuiping1,2 Chen Jianlong1(1Department of Mathematics,Southeast University,Nanjing 210096,China)(2Department of Mathematics,Northwest Normal University,Lanzhou 730070,China);Weak M-Armendariz rings[J];东南大学学报(英文版);2009-01
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