| 除环上方阵的Dieudonné行列式 |
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| 引用本文： | 屠伯埙. 除环上方阵的Dieudonné行列式[J]. 复旦学报(自然科学版), 1990, 0(1) |
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| 作者姓名： | 屠伯埙 |
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| 作者单位： | 复旦大学数学系 |
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| 摘 要： | 本文给出除环上Dieudonné行列式的第二降阶定理、行列式展开定理等,并利用上述定理得到了强p除环上的正定自共轭阵行列式上界的新的估计。
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| 关 键 词： | 除环 行列式 正定自共轭阵 上界 |
DIEUDONNE DETERMINATS OF MATRICES OVER A DIVISION RING |
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| Tu Boxun,. DIEUDONNE DETERMINATS OF MATRICES OVER A DIVISION RING[J]. Journal of Fudan University(Natural Science), 1990, 0(1) |
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| Authors: | Tu Boxun |
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| Affiliation: | Department of Mathematics |
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| Abstract: | This paper provides some new results on Dieudonn(?)an determinants over a di-vision ring, e. g., the "second order-descending theorem", the "spread theorem", andso on. As a concequence of these theorem, the upper bounds for Dieudonn(?)an deter-minants of positive definite conjugate quaternion matrices are given. |
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| Keywords: | division ring determinant positive selfconjugate matrix upper bound. |
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