| 一般对称环 |
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| 引用本文： | 秦兰兰,王尧,任艳丽.一般对称环[J].山东大学学报(理学版),2020,55(12):63-68. |
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| 作者姓名： | 秦兰兰 王尧 任艳丽 |
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| 作者单位： | 南京信息工程大学数学与统计学院,江苏 南京210044;南京晓庄学院信息工程学院,江苏 南京211171 |
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| 基金项目： | 国家自然科学基金资助项目(11571165);江苏省自然科学基金资助项目(BK20181406) |
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| 摘 要： | 在一般环(未必有1)范畴中,左、右对称环的概念是不同的。在一般环范畴中引入一般对称环的概念,给出其刻画,讨论一般对称环与相关环的关系及其环扩张。
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| 关 键 词： | 一般对称环 右对称环 Baer环 p.p.-环 |
General symmetric rings |
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| QIN Lan-lan,WANG Yao,REN Yan-li.General symmetric rings[J].Journal of Shandong University,2020,55(12):63-68. |
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| Authors: | QIN Lan-lan WANG Yao REN Yan-li |
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| Institution: | 1. School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, Jiangsu, China;2. School of Information Engineering, Nanjing Xiaozhuang University, Nanjing 211171, Jiangsu, China |
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| Abstract: | In the general ring(not necessarily with 1)category, the concepts of left and right symmetric rings are different. The concept of general symmetric rings in general ring category is introduced and give its characterization, discuss the relationship between general symmetric rings and related rings as well as their ring extensions. |
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| Keywords: | general symmetric ring right symmetric ring Baer ring p p -ring |
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