黎奇升.加强P除环上自共轭矩阵的几个定理[J].数学研究及应用,2000,20(1):139~142 |
加强P除环上自共轭矩阵的几个定理 |
Several Theorems of Self-Conjugate Matrices over the Stronger P-Division Rings |
投稿时间:1994-04-29 |
DOI:10.3770/j.issn:1000-341X.2000.01.024 |
中文关键词: 加强P-除环 实封闭域 自共轭矩阵 |
英文关键词:stronger P-division rings real closed fields self-conjugate matrices. |
基金项目: |
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中文摘要: |
证明了如果O是加强P-除环,则为实封闭域.利用该结果还讨论了加强P一除环上自共轭矩阵的正定性. |
英文摘要: |
In this paper, we prove that if is a stronger P-division ring, then R , must be a real closed field' Thus some famous results involving self-conjugate matri- ces, positive definite self-conjusate matrices in the ordinary complex matrix theory are generalized to self-conjugate matrices over Q. |
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