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:
作者单位
黎奇升 吉首大学数学系 
摘要点击次数: 1874
全文下载次数: 872
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.
查看全文  查看/发表评论  下载PDF阅读器