Pseudolinear transformations and evaluation in Ore extensions
Pseudolinear transformations and evaluation in Ore extensions
复制标题
矿石扩展中的伪线性变换和评估
DOI：
10.36045/bbms/1103408724
复制
发表时间：
1995
影响因子：
0.5
通讯作者：
A. Leroy
中科院分区：
文献类型：
--
作者：
A. Leroy
研究了Ore多项式求值与伪线性变换的关系。这些变换下的同态的矿石扩展，特别是代数性的行为进行了分析，导致表征的左和右的一个矿石扩展。给出了代数伪线性变换可对角化的充要条件。引入了（S，D）左、右特征值的自然概念，给出了矩阵（S，D）可对角化的充分条件。
The relations between evaluation of Ore polynomials and pseudo-linear transformations are studied. The behavior of these transformations under homomorphisms of Ore extensions, in particular with respect to algebraicity, is analyzed leading to characterization of left and right primitivity of an Ore extension. Necessary and sufficient conditions are given for algebraic pseudo-linear transformations to be diagonalizable. Natural notions of (S,D) right and left eigenvalues are introduced and sufficient conditions for a matrix to be (S,D) diagonalizable are given.