| n次广义幂等正交矩阵集中的等价关系 |
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| 引用本文： | 刘兴祥.n次广义幂等正交矩阵集中的等价关系[J].河南科学,2010,28(9):1071-1073. |
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| 作者姓名： | 刘兴祥 |
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| 作者单位： | 延安大学,数学与计算机科学学院,陕西,延安,716000 |
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| 摘 要： | 设R是含幺结合环,Mk(R)为R上的k阶矩阵环,Gnk(R)表示Mk(R)中的n(n≥2)次广义幂等矩阵集,由n次广义幂等矩阵与代数等价的定义,得到了n次广义幂等正交矩阵集中两种不同形式的等价关系.
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| 关 键 词： | n次广义幂等矩阵 正交 代数等价 |
Equivalaence Relations on the Set of Generalized Idmportent Matrice of Degree n |
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| Liu Xingxiang.Equivalaence Relations on the Set of Generalized Idmportent Matrice of Degree n[J].Henan Science,2010,28(9):1071-1073. |
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| Authors: | Liu Xingxiang |
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| Institution: | Liu Xingxiang(College of Mathematics and Computer Science,Yan’an University,Yan’an 716000,Shaanxi China) |
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| Abstract: | Let R be an associative ring contained unit,M（kR）be k th-order matrix ring over R and G（knR）be the generalized idmportent orthogonal matrice of degree n（n≥2）,two different equivalence relations on the set of generalized idmportent orthogonal matrice of degree n are obtained by the definitions of orthogonality and algebraic equivalence about generalized idmportent orthogonal matrice of degree n. |
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| Keywords: | generalized idmportent orthogonal matrice of degree n orthogonal algebraic equivalence |
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