| 单边exchange一般环的几个结果 |
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| 引用本文： | 郭莉琴,苗茹.单边exchange一般环的几个结果[J].长春师范学院学报,2011(6):12-15. |
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| 作者姓名： | 郭莉琴 苗茹 |
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| 作者单位： | 天水师范学院数学与统计学院;河南大学计算机与信息工程学院; |
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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(TSA020231) |
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| 摘 要： | 本文推广了exchange环,定义了单边exchange一般环,并讨论了它的一些性质.证明了单边ex-change一般环I上的多项式环Ix]不是单边exchange一般环.并证明了在Ablelian条件下,clean一般环、exchange一般环和单边exchange一般环是等价的.
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| 关 键 词： | 一般环 单边exchange一般环 Ablelian环 clean一般环 |
Some Results on One-sided Exchange General Rings |
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| GUO Li-qin,MIAO Ru.Some Results on One-sided Exchange General Rings[J].Journal of Changchun Teachers College,2011(6):12-15. |
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| Authors: | GUO Li-qin MIAO Ru |
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| Institution: | GUO Li-qin1,MIAO Ru2(1.School of Mathematics and Statistics,Tianshui Normal University,Tianshui 741001,China,2.College of Computer and Information Engineering,Henan University,Kaifeng 475004,China) |
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| Abstract: | This paper generalizes exchange rings,defines one-sided exchange general rings,and discusses some properties of the one-sided exchange general rings.It also shows that the polynomial rings over a nonzero one-sided exchange general ring are never one-sided exchange general rings.In addition,some equivalent characterizations of one-sided exchange rings are given under the condition of Abelian ring. |
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| Keywords: | general ring one-sided exchange general ring Abelian ring clean general ring |
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