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.
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.
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 .
作为应用，获得自伴算子空间和对称算子空间上的约当环同构的具体刻画。
Application to characterizing the Jordan ring automorphisms on the space of self-adjoint operators and the space symmetric operators are also presented.
提取外边界时采用环量积分算子，将环量线积分改进为微小圆环的面积分，克服了噪声影响。
We changed the curvilinear integral to surface integral in the thin ring around the curve so that the influence of the noise can be decreased.
另外，本文在环的直积结构上通过模糊理想的直积诱导近似算子，对相关近似算子的性质进行了研究。
In addition, on the direct product of rings, the approximation operators are introduced by using the direct product of fuzzy ideals and the relevant properties of approximation operators are derived.
另外，本文在环的直积结构上通过模糊理想的直积诱导近似算子，对相关近似算子的性质进行了研究。
In addition, on the direct product of rings, the approximation operators are introduced by using the direct product of fuzzy ideals and the relevant properties of approximation operators are derived.
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