Images of multilinear polynomials on \(n \times n\) upper triangular matrices over infinite fields
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Publication:2696640
DOI10.1007/s11856-022-2350-2OpenAlexW4295027529WikidataQ114221618 ScholiaQ114221618MaRDI QIDQ2696640
Ivan Gonzales Gargate, Thiago Castilho de Mello
Publication date: 17 April 2023
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2106.12726
Endomorphism rings; matrix rings (16S50) Multilinear algebra, tensor calculus (15A69) (T)-ideals, identities, varieties of associative rings and algebras (16R10)
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Images of multilinear graded polynomials on upper triangular matrix algebras, Polynomial identities and images of polynomials on null-filiform Leibniz algebras, Values of multilinear graded \(\ast\)-polynomials on upper triangular matrices of small dimension, The image of polynomials and Waring type problems on upper triangular matrix algebras, A new approach to the Lvov-Kaplansky conjecture through gradings, The image of polynomials in one variable on the algebra of \(3 \times 3\) upper triangular matrices, On Fagundes-Mello conjecture, Images of graded polynomials on matrix algebras
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