Maps preserving zeros of matrix polynomials
type: Item
instance of: scholarly article
title: Maps preserving zeros of matrix polynomials
zbMATH Open document ID: 1185.15020
DOI: 10.1134/S1064562409040152
author: Alexander Guterman
author: Bojan Kuzma
published in: Doklady Mathematics
publication date: 2010-02-05T00:00:00Z
Mathematics Subject Classification ID: 15A54
zbMATH DE Number: 5666524
zbMATH Keywords: matrix polynomials
zbMATH Keywords: zero preserving nonlinear maps
zbMATH Keywords: Kaplansky-Watkins' problem
MaRDI profile type: Publication
cites work: Invariance of the non-vanishing specializations of polynomials
cites work: Linear maps that preserve commuting pairs of matrices
cites work: Linear maps that preserve matrices annihilated by a polynomial
cites work: On maps preserving zeros of the polynomial \(xy - yx^\ast\)
cites work: Linear preservers of zeros of matrix polynomials
cites work: On additive isomorphisms of prime rings preserving polynomials
cites work: Linear transformations that preserve the nilpotent matrices
cites work: Non-linear commutativity preserving maps onMn
cites work: Polynomial identity rings.
description: scientific article; zbMATH DE number 5666524