全矩阵环(full matrix ring)是一类具体且重要的环。即由矩阵构成的一类有零因子的非交换环。环R上一切n阶矩阵的集合{[aij]n×n|aij∈R}对矩阵的加法和乘法构成的环,称为R上全矩阵环。也称它为R上n阶矩阵环,记为Rn或Mn(R)。
研究了全矩阵环上保持伴随矩阵的线性映射的形式。
The forms of linear maps preserving adjoint matrix between two full matrix rings have been given.
讨论了同域上全阵环有密切关系的几种环类,不仅研究了这些环类的性质,同时也研究了它们同普通矩阵环的关系.。
Discusses the derived rings and weak derived rings on the total matrix ring. At first, we discuss the properties of these rings, and next discuss their relations matrix rings.
本文刻画了整环上的全矩阵空间、对称矩阵空间和上三角矩阵空间上保持伴随矩阵的线性算子的结构。
In this paper, we characterize the linear operators preserving adjoint matrices on the Spaces of all matrices, symmetric matrices and upper triangular matrices over domain.
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