| n×n矩阵环的多项式恒等式 |
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| 引用本文： | 游松发,赵红艳.n×n矩阵环的多项式恒等式[J].湖北大学学报(自然科学版),2012,34(2):212-214. |
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| 作者姓名： | 游松发 赵红艳 |
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| 作者单位： | 湖北大学数学与计算机科学学院,湖北武汉,430062 |
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| 摘 要： | 基于泛矩阵代数的理论和矩阵环的楼梯方法,用交错或对称的多项式构造Mn(C)的恒等式和中心恒等式,这些结果是Formanek关于Mn(Z)的恒等式和中心恒等式的推广.
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| 关 键 词： | 泛矩阵 楼梯 对称多项式 中心恒等式 |
On a polynomial identity for n × n matrices |
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| YOU Songfa
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ZHAO Hongyan.On a polynomial identity for n × n matrices[J].Journal of Hubei University(Natural Science Edition),2012,34(2):212-214. |
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| Authors: | YOU Songfa ZHAO Hongyan |
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| Institution: | (School of Mathematics and Computer Science,Hubei University,Wuhan 430062,China) |
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| Abstract: | In this paper,some identities and central identities for Mn(C) were obtained from alternating or symetric polynomials.They were based on some theories for generic matrix and methods for staircase of matrix units.Formanek’s identities and central identities on Mn(Z) were extened. |
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| Keywords: | generic matrix staircase symmetric polynomial central identity |
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