Values of multilinear graded \(\ast\)-polynomials on upper triangular matrices of small dimension
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Publication:6153581
DOI10.1016/j.jalgebra.2024.01.018arXiv2309.13437OpenAlexW4391179991MaRDI QIDQ6153581
No author found.
Publication date: 14 February 2024
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2309.13437
Other kinds of identities (generalized polynomial, rational, involution) (16R50) (T)-ideals, identities, varieties of associative rings and algebras (16R10)
Cites Work
- On matrices of trace zero
- Involutions for upper triangular matrix algebras.
- Identities with involution for \(2\times 2\) upper triangular matrices algebra over a finite field
- Evaluations of noncommutative polynomials on algebras: methods and problems, and the L'vov-Kaplansky conjecture
- Graded involutions on block-triangular matrix algebras
- Images of multilinear polynomials on \(n \times n\) upper triangular matrices over infinite fields
- The images of non-commutative polynomials evaluated on 2×2 matrices
- Lvov-Kaplansky conjecture on UT_m^+ with the transpose involution
- The images of non-commutative polynomials evaluated on 2 × 2 matrices over an arbitrary field
- Lie identities and images of Lie polynomials for the skew-symmetric elements of UTm
- Images of multilinear graded polynomials on upper triangular matrix algebras
- A new approach to the Lvov-Kaplansky conjecture through gradings
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