The images of noncommutative polynomials evaluated on the quaternion algebra
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Publication:5162779
DOI10.1142/S0219498821500742zbMath1473.16009arXiv1906.04973OpenAlexW3005473047MaRDI QIDQ5162779
Publication date: 5 November 2021
Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1906.04973
Noncommutative algebraic geometry (14A22) Ordinary and skew polynomial rings and semigroup rings (16S36) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05)
Related Items (9)
On solutions of second-order matrix polynomial equation of high degree ⋮ Evaluations of multilinear polynomials on low rank Jordan algebras ⋮ On the Mesyan conjecture ⋮ Images of multilinear graded polynomials on upper triangular matrix algebras ⋮ Polynomial identities and images of polynomials on null-filiform Leibniz algebras ⋮ A new approach to the Lvov-Kaplansky conjecture through gradings ⋮ The images of multilinear and semihomogeneous polynomials on the algebra of octonions ⋮ The image of polynomials in one variable on the algebra of \(3 \times 3\) upper triangular matrices ⋮ Images of graded polynomials on matrix algebras
Cites Work
- On the image of a noncommutative polynomial.
- Power-central polynomials on matrices.
- The invariant theory of \(n\times n\) matrices
- The images of non-commutative polynomials evaluated on 2×2 matrices
- On Ranges of Polynomials in Finite Matrix Rings
- The images of multilinear polynomials evaluated on $3\times 3$ matrices
- Images of graded polynomials in matrix rings over finite group algebras
- The images of Lie polynomials evaluated on matrices
- The images of non-commutative polynomials evaluated on 2 × 2 matrices over an arbitrary field
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