Pseudolinear transformations and evaluation in Ore extensions
André Leroy · Bulletin of the Belgian Mathematical Society - Simon Stevin · 1995
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.