The images of multilinear polynomials evaluated on $3\times 3$ matrices
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Publication:3450163
DOI10.1090/proc/12478zbMath1373.16039arXiv1306.4389OpenAlexW1706781414MaRDI QIDQ3450163
Alexei Kanel-Belov, Sergey Malev, Louis Halle Rowen
Publication date: 3 November 2015
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1306.4389
Endomorphism rings; matrix rings (16S50) Trace rings and invariant theory (associative rings and algebras) (16R30) (T)-ideals, identities, varieties of associative rings and algebras (16R10)
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Cites Work
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- Values of noncommutative polynomials, Lie skew-ideals and tracial Nullstellensätze.
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- On matrices of trace zero
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- Word maps, conjugacy classes, and a noncommutative Waring-type theorem.
- Invariants of several matrices
- Word maps have large image.
- Word maps and Waring type problems
- The images of non-commutative polynomials evaluated on 2×2 matrices
- On Ranges of Polynomials in Finite Matrix Rings
- Images of graded polynomials in matrix rings over finite group algebras
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