A new approach to the Lvov-Kaplansky conjecture through gradings

DOI10.1016/j.laa.2023.06.010zbMath1530.16022arXiv2210.05653OpenAlexW4380792598WikidataQ123253531 ScholiaQ123253531MaRDI QIDQ6173930

Ivan Gonzales Gargate, Thiago Castilho de Mello

Publication date: 13 July 2023

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.05653

zbMATH Keywords

graded algebrasLvov-Kaplansky conjectureimages of polynomials on matrix algebras

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Trace rings and invariant theory (associative rings and algebras) (16R30) Graded rings (13A02) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

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