1·The main spectrums, singular spectrums and cospectrums of matrices over quaternionic sfield are studied.
研究四元数矩阵的主谱、协谱和奇异谱的性质。
2·In recent 30 years, many experts and scholars were carrying on an extensive research about quaternionic matrix and got plenteous theoretical results.
近30年来，许多专家学者对四元数矩阵进行了广泛的研究，取得了丰硕的理论成果。
3·One kind of inverse eigenvalue problems, whose solutions are required to be normal or diagonalizable matrices, is investigated in quaternionic quantum mechanics.
本文研究了四元数量子力学中一类要求其解是正规或可对角化四元数矩阵的特征值反问题。
4·The two theorems are proved that any ring can be extended into an algebraically closed ring and that the quaternionic skew field over a real closed field is algebraically closed.
证明了任一环有代数封闭的扩张环，且实封闭域上的四元数体是代数封闭的，给出了代数封闭环的若干性质。