| 线性空间直和分解定理的推广及应用 |
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| 引用本文： | 李毛亲.线性空间直和分解定理的推广及应用[J].台州学院学报,2011,33(3):1-2,19. |
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| 作者姓名： | 李毛亲 |
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| 作者单位： | 台州学院数学与信息工程学院,浙江临海,317000 |
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| 摘 要： | 把高等代数中线性空间的直和分解定理推广到一般情形.对于n维线性空间V上线性变换A的任一个化零多项式f（x）,若f（x）为若干个两两互素的多项式的乘积,则线性空间V可以相应地分解成有限个A的不变子空间的直和.一些应用实例被给出.
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| 关 键 词： | 线性空间 直和分解 多项式互素 |
Generalized Theorem of Direct Sum Decomposition of a Linear Space and its Application |
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| LI Mao-qin.Generalized Theorem of Direct Sum Decomposition of a Linear Space and its Application[J].Journal of Taizhou University,2011,33(3):1-2,19. |
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| Authors: | LI Mao-qin |
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| Institution: | LI Mao-qin(School of Mathematics and Information Engineering,Taizhou University,Linhai 317000,China) |
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| Abstract: | In this paper,theorem of direct sum decomposition of a linear space in advanced Algebra is generalized.For any Annihilating polynomial f（x） of a linear transformation A,if f（x） is a product of finite mutually prime polynomials,linear space V could be deco |
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| Keywords: | linear space direct sum decomposition relatively prime of polynomials |
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