| 非Armendariz环的最小阶 |
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| 引用本文： | 何建伟,邵海琴,郭莉琴,王力梅.非Armendariz环的最小阶[J].四川轻化工学院学报,2014(1):92-93. |
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| 作者姓名： | 何建伟 邵海琴 郭莉琴 王力梅 |
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| 作者单位： | 天水师范学院数学与统计学院,甘肃天水741001 |
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| 基金项目： | 天水师范学院中青年教师科研资助项目（4012012010005） |
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| 摘 要： | 利用有限环的同构分类,以及两个判断Armendariz环的充分条件,讨论了非Armendariz环的最小阶数,最后得出,交换的非Armendariz环的阶数最小为4,非交换的非Armendariz环的阶数最小为8,并给出了这些最小阶数对应环的构造.
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| 关 键 词： | 有限环 非Armendariz环 最小阶 |
The Least Order of Non-Armendariz Ring |
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| HE Jianwei,SHAO Haiqin,GUO Liqin,WANG Limei.The Least Order of Non-Armendariz Ring[J].Journal of Sichuan Institute of Light Industry and Chemical Technology,2014(1):92-93. |
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| Authors: | HE Jianwei SHAO Haiqin GUO Liqin WANG Limei |
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| Affiliation: | (School of Mathematics and Statistic, Tianshui Normal University, Tianshui 741001, China) |
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| Abstract: | According to the isomorphism classification of finite ring, and two sufficient conditions for deciding Armen- dariz ring, the least order of non-Armendariz ring is studied. ring is four, the least order of non-Armendariz ring is eight rings that have the least orders are presented. Then it can be concluded that the least order of non-Armendariz when the ring is commutative. Finally, the structures of these |
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| Keywords: | finite rings non-Armendariz ring the least order |
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