On Fagundes-Mello conjecture

DOI10.1016/j.jalgebra.2021.11.008zbMath1491.16030OpenAlexW3213536792WikidataQ122901293 ScholiaQ122901293MaRDI QIDQ2057239

Yu Wang, Yingyu Luo

Publication date: 9 December 2021

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2021.11.008

zbMATH Keywords

multilinear polynomialupper triangular matrix algebraLvov-Kaplansky conjecture\(\beta\)-indexFagundes-de Mello conjecture

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Matrices over function rings in one or more variables (15A54) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items (7)

The images of polynomials on \(3 \times 3\) upper triangular matrix algebras ⋮ Images of multilinear graded polynomials on upper triangular matrix algebras ⋮ Polynomial identities and images of polynomials on null-filiform Leibniz algebras ⋮ 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 ⋮ Images of graded polynomials on matrix algebras

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