| 一类矩阵代数的多项式恒等式 |
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| 引用本文： | 郑玉美. 一类矩阵代数的多项式恒等式[J]. 湖北大学学报(自然科学版), 1989, 11(2): 21-24 |
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| 作者姓名： | 郑玉美 |
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| 作者单位： | 湖北大学数学系 |
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| 摘 要： | 本文研究域F上的形如:的n阶方阵构成的矩阵代数R_n的多项式恒等式,主要结论是:xy-yx是R_n的中心多项式;(xy-yx)~2是R_n的恒等式;R_n的最低次恒等式的次数是3.
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| 关 键 词： | 矩阵代数 多项恒等式 中心多项式 |
POLYNOMIAL IDENTITIES FOR A KIND OF MATRICES |
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| Zheng Yumei. POLYNOMIAL IDENTITIES FOR A KIND OF MATRICES[J]. Journal of Hubei University(Natural Science Edition), 1989, 11(2): 21-24 |
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| Authors: | Zheng Yumei |
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| Affiliation: | Department of Mathematics |
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| Abstract: | In this paper, a kind of matrics Rn is studied, the matrices of Rn have the form:Our key aid is researchnig polynomial identities of Rn. We obtain the follauing results: [x,y] is a central polynomial of Rn, [[x,y],z] is an identity of Rn and the minimal identity of Rn. Hence the degree of the minimal identities of Rn is 3. |
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| Keywords: | Poylnomial identity Central polynomial Minimal identity. |
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