环上一方程组解的研究及其应用
Research on a System of Equations In Rings With Applications
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。
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.
出处
《山东教育学院学报》
2010年第1期59-61,共3页
Journal of Shandong Education Institute
关键词
结合环
算子等式
希尔伯特空间
Ring
Operator equations
Hilbert space operators
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