| 环的Armendariz性 |
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| 引用本文： | 任艳丽,景丽敏.环的Armendariz性[J].纯粹数学与应用数学,2009,25(3):442-447. |
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| 作者姓名： | 任艳丽 景丽敏 |
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| 作者单位： | 任艳丽(南京晓庄学院数学系,江苏,南京,210017);景丽敏(南京晓庄学院数学系,江苏,南京,210017;辽宁师范大学数学系,辽宁,大连,116029) |
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| 基金项目： | 辽宁省教育厅科研基金 |
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| 摘 要： | 研究了一个环何时具有Armendariz性．使用环论的一般方法，证明了在一定条件下商环、具有一对零同态的Morita Context环以及映射环是Armendariz环，推广了已有的某些结果．
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| 关 键 词： | Armendariz环 商环 Morita Context环 映射环 |
Armendariz properties of rings |
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| REN Yan-li ,JING Li-min.Armendariz properties of rings[J].Pure and Applied Mathematics,2009,25(3):442-447. |
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| Authors: | REN Yan-li JING Li-min |
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| Institution: | REN Yan-li 1,JING Li-min 1,2(1.Department of Mathematics,Nanjing Xiaozhuang University,Nanjing 210017,China,2.Department of Mathematics,Liaoning Normal University,Dalian 116029,China) |
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| Abstract: | In this paper,we investigate the conditions that a ring is Armendariz ring,show that quotient rings,Morita Context rings with a pair of zero homomorphisms and map rings are Armendariz ring under some conditions by using of general mathods in ring theory,and generalize some results in literatures. |
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| Keywords: | Armendariz ring quotient ring Morita Context ring map ring |
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