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| α-对称环 | |
| 引用本文： | 王伟亮,王尧,庞羽,任艳丽.α-对称环[J].数学的实践与认识,2012,42(18):223-228. |
| 作者姓名： | 王伟亮 王尧 庞羽 任艳丽 |
| 作者单位： | 1. 南京信息工程大学信息与控制学院,江苏南京,210044 2. 南京信息工程大学数学与统计学院,江苏 南京,210044 3. 辽宁师范大学数学科学学院,辽宁大连,116029 4. 南京晓庄学院数学与信息技术学院,江苏南京,211171 |
| 基金项目： | 国家自然科学基金，江苏省教育厅高校《青蓝工程》 |
| 摘 要： | 引入α-对称环的概念,讨论了它与其它相关环的关系,证明环R是α-对称环当且仅当R上的n×n上三角矩阵环T_n(R)是α-对称环;若R是α-对称环,则Rx]/(x~n)是α-对称环,其中(x~n)是由x~n生成的理想,n为任意正整数. |
| 关 键 词： | α-对称环 α-可逆环 α-刚性环 |
α- Symmetric Rings |
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| WANG Wei-liang , WANG Yao , PANG Yu , REN Yan-li.α- Symmetric Rings[J].Mathematics in Practice and Theory,2012,42(18):223-228. | |
| Authors: | WANG Wei-liang WANG Yao PANG Yu REN Yan-li |
| Institution: | 1.School of Information and Cybernetics,Nanjing university of information sciences and technology,Nanjing 210014,China) (2.School of Mathematics and statistics,Nanjing University of information science and technology,Nanjing 210044,China) (3.School of Mathematics,Liaoning Normal University,Dalian 116029,China) (4.School of Mathematics and Information Technology,Nanjing Xiaozhuang University,Nanjing 211171,China) |
| Abstract: | In this paper,we introduce the concept of a-symmetric rings and investigate the relations between them and related rings.We show that a ring R isα-symmetric if and only if the n×n upper triangular matrix rings T_n(R)are a-symmetric,and that if R isα-symmetric then Rx]/(x~n)is a-symmetric,where(x~n)is the ideal generated by x~n,n∈N. |
| Keywords: | a-symmetric ring a-reversible ring a-rigid ring |
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