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In this paper we prove the generalized Kaplansky conjecture for Jordan algebras of the type Jn, in particular for self-adjoint 2×2 matrices over R, over C, H and O. In… Click to show full abstract
In this paper we prove the generalized Kaplansky conjecture for Jordan algebras of the type Jn, in particular for self-adjoint 2×2 matrices over R, over C, H and O. In fact, we prove that the image of multilinear polynomial must be either {0}, R, the space V of pure elements, or Jn.
Keywords:
multilinear polynomials;
polynomials low;
jordan;
evaluations multilinear;
low rank;
jordan algebras
Journal Title: Communications in Algebra
Year Published: 2021
Link to full text (if available)
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Journal Title: Communications in Algebra
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!