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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刻画了在非负无零因子交换半环上强保持可逆矩阵的线性算子。

The linear operators that strongly preserve invertible matrices over some antinegative commutative semirings with no zero divisors were characterized.

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刻画了在非负无零因子交换半环上强保持可逆矩阵的线性算子。

Then T is an invertible linear operator preserving rank - partial ordering on Sn(F) if and only if there exists an invertible matrix (F) such that where .

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