| Baer环和p.p.环的Ore扩张 |
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| 引用本文： | 何建伟,郭莉琴,邵海琴,杨随义,王力梅.Baer环和p.p.环的Ore扩张[J].四川理工学院学报(自然科学版),2011(6):719-721. |
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| 作者姓名： | 何建伟 郭莉琴 邵海琴 杨随义 王力梅 |
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| 作者单位： | 天水师范学院数学与统计学院 |
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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(TSA1013) |
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| 摘 要： | 得到了Armendariz性与左右零化子之间的两个联系,并将其推广到(α,δ)-斜Armendariz环上,讨论了(α,δ)-斜Armendariz环中零化子的性质.由于其自身的特点,关于右零化子的结论与左零化子的结论有所不同.用其中一个推广讨论了Ore扩张的Baer性与p.p.性,得到了新条件下Baer环和p.p.环...
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| 关 键 词： | (α δ)-斜Armendariz环 零化子 Ore扩张 Baer环 p.p.环 |
Ore Extensions of Baer and p.p.-rings |
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| HE Jian-wei,GUO Li-qin,SHAO Hai-qin,YANG Sui-yi,WANG Li-mei.Ore Extensions of Baer and p.p.-rings[J].Journal of Sichuan University of Science & Engineering:Natural Science Editton,2011(6):719-721. |
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| Authors: | HE Jian-wei GUO Li-qin SHAO Hai-qin YANG Sui-yi WANG Li-mei |
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| Institution: | (School of Mathematics and Statistic,Tianshui Normal College,Tianshui 741001,China) |
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| Abstract: | Two relation between the Armendarizness and the left right annihilator are gived,the corresponding result is extended to the(α,δ)-skew Armendariz ring,and the property of annihilator in(α,δ)-skew Armendariz rings is discussed.Because of its characteristics,the result about left annihilator is different from the right.Use one of the results,the Ore extensions of Baer and p.p.-rings are given under the new condition. |
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| Keywords: | (α δ)-skew Armendariz rings annihilator Ore extensions Baer rings p p -rings |
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