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Maps preserving zeros of matrix polynomials

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Publication:845146
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DOI10.1134/S1064562409040152zbMath1185.15020MaRDI QIDQ845146

Alexander E. Guterman, Bojan Kuzma

Publication date: 5 February 2010

Published in: Doklady Mathematics (Search for Journal in Brave)


zbMATH Keywords

matrix polynomialsKaplansky-Watkins' problemzero preserving nonlinear maps


Mathematics Subject Classification ID

Matrices over function rings in one or more variables (15A54)


Related Items

Evaluations of noncommutative polynomials on algebras: methods and problems, and the L'vov-Kaplansky conjecture, The images of non-commutative polynomials evaluated on 2×2 matrices



Cites Work

  • Linear maps that preserve matrices annihilated by a polynomial
  • Linear transformations that preserve the nilpotent matrices
  • Linear maps that preserve commuting pairs of matrices
  • On additive isomorphisms of prime rings preserving polynomials
  • Linear preservers of zeros of matrix polynomials
  • Polynomial identity rings.
  • On maps preserving zeros of the polynomial \(xy - yx^\ast\)
  • Invariance of the non-vanishing specializations of polynomials
  • Non-linear commutativity preserving maps onMn
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