| 广义可逆环的性质 |
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| 引用本文： | 王尧,王永慧.广义可逆环的性质[J].南京信息工程大学学报,2010,2(4):289-293. |
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| 作者姓名： | 王尧 王永慧 |
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| 作者单位： | 1. 南京信息工程大学,数理学院,南京,210044
2. 南京信息工程大学,数理学院,南京,210044;辽宁师范大学数学学院,大连,116029 |
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| 基金项目： | 国家自然科学基金，江苏省"333高层次人才培养工程"科研基金 |
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| 摘 要： | 引进了广义可逆环和拟ZIn环的概念,并研究了它们的若干性质.证明了对于Armendariz环R,R是广义可逆环当且仅当Rx]是广义可逆环;广义可逆环是2-素环,拟ZIn环在满足一定条件时是2-素环.
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| 关 键 词： | 广义可逆环 半交换环 2-素环 拟ZIn环 |
Some properties of generalized reversible rings |
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| WangYao WangYonghui.Some properties of generalized reversible rings[J].Journal of Nanjing University of Information Science & Technology,2010,2(4):289-293. |
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| Authors: | WangYao WangYonghui |
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| Affiliation: | 1 School of Mathematics & Physics; Nanjing University of Information Science & Technology; Nanjing 210044 2 Department of Mathematics; Liaoning University; Dalian 116029; |
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| Abstract: | In this paper,the concepts of generalized reversible ring and quasi-ZIn rings are defined and some of their properties are investigated.We prove that as a Armendariz ring,R is generalized reversible ring if and only if Rx]is generalized reversible ring;generalized reversible rings are 2-prime rings,and quasi-ZIn rings are 2-prime rings if some conditions are met. |
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| Keywords: | generalized reversible ring semicommutative ring 2-prime ring quasi-ZIn ring |
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