| 一类矩阵环的半交换性 |
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| 引用本文： | 闫占平.一类矩阵环的半交换性[J].甘肃联合大学学报(自然科学版),2004,18(1):10-12. |
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| 作者姓名： | 闫占平 |
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| 作者单位： | 西北师范大学,数学与信息科学学院,甘肃,兰州,730070 |
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| 摘 要： | 设R是reduced环.记Un(R)为R上的n×n上三角矩阵环.则Un(R)不是半交换环.本文证明了Un(R)的子环Rn是半交换环.作为推论,证明了R平凡扩张T(R,R)也是半交换环.
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| 关 键 词： | 半交换环 reduced环 上三角矩阵环 |
| 文章编号： | 1007-9912(2004)01-0010-03 |
| 修稿时间： | 2003年6月2日 |
Semicommutativity of a Class of Matrix Rings |
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| YAN Zhan-ping.Semicommutativity of a Class of Matrix Rings[J].Journal of Gansu Lianhe University :Natural Sciences,2004,18(1):10-12. |
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| Authors: | YAN Zhan-ping |
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| Abstract: | Let R be a reduced ring.Let U_n(R) denote the ring of all n by n upper triangular matrixs with ertries in R.Then U_n(R) is not a semicommutative ring.It is proved that the subring R_n of U_n(R) is semicommutative ring.As a corollary,it is proved that the trivial extension T(R,R) of R is semicommutative ring. |
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| Keywords: | semicommutative ring reduced ring upper triangular matrix ring |
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