Images of multilinear polynomials on \(n \times n\) upper triangular matrices over infinite fields

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

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Multilinear algebra, tensor calculus (15A69) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items

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

Cites Work

• Unnamed Item
• Unnamed Item
• Values of noncommutative polynomials, Lie skew-ideals and tracial Nullstellensätze.
• The images of multilinear polynomials on strictly upper triangular matrices
• Evaluations of noncommutative polynomials on algebras: methods and problems, and the L'vov-Kaplansky conjecture
• The image of polynomials on \(2\times 2\) upper triangular matrix algebras
• The images of completely homogeneous polynomials on \(2\times 2\) upper triangular matrix algebras
• The image of multilinear polynomials evaluated on \(3 \times 3\) upper triangular matrices
• The images of non-commutative polynomials evaluated on 2×2 matrices
• Lvov-Kaplansky conjecture on UT_m^+ with the transpose involution
• The images of multilinear polynomials evaluated on $3\times 3$ matrices
• Images of multilinear polynomials of degree up to four on upper triangular matrices
• The images of non-commutative polynomials evaluated on 2 × 2 matrices over an arbitrary field
• On the Lie and Jordan Rings of a Simple Associative Ring