| 环上一方程组解的研究及其应用 |
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| 引用本文： | 江静,江莲莲. 环上一方程组解的研究及其应用[J]. 山东教育学院学报, 2010, 25(1): 59-61 |
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| 作者姓名： | 江静 江莲莲 |
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| 作者单位： | 1. 山东教育学院数学与应用数学系,山东,济南,250013
2. 山东省即墨市创新中学数学组,山东,青岛,266200 |
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| 摘 要： | 结合环上一方程组a1x=c1和a2xb1=c2有公共解的充分必要条件,并得到了此方程组解的一般表达式。作为应用,进一步研究了矩阵环上长方形矩阵方程组的解和希尔伯特空间上有界线性算子方程组的解。
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| 关 键 词： | 结合环 算子等式 希尔伯特空间 |
Research on a System of Equations In Rings With Applications |
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| Jiang Jing,Jiang Lianlian. Research on a System of Equations In Rings With Applications[J]. Journal of Shandong Education Institute, 2010, 25(1): 59-61 |
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| Authors: | Jiang Jing Jiang Lianlian |
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| Affiliation: | 1. Department of Mathematics, and Applied Mathematics Shandong Education Institut,Jinan 250013, China; 2. Department of Mathematics, Chuangxin High School of Jimo, Qingdao 266200, China) |
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| Abstract: | In this paper, we consider the system of equations and in an associative ring. Necessary and sufficient conditions for the existence and the expression of the general solution to the system are derived. As an application, results for rectangular matrices and operators between different Hilbert spaces are obtained. |
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| Keywords: | Ring Operator equations Hilbert space operators |
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