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math.RA2022★ 3 cited
A new approach to the Lvov-Kaplansky conjecture through gradings
Ivan Gonzales Gargate, Thiago Castilho de Mello
In this paper we consider images of (ordinary) noncommutative polynomials on matrix algebras endowed with a graded structure. We give necessary and sufficient conditions to verify…
math.RA2022★ 5 cited
Images of graded polynomials on matrix algebras
Lucio Centrone, Thiago Castilho de Mello
The aim of this paper is to start the study of images of graded polynomials on full matrix algebras. We work with the matrix algebra over a field endowed with its cano…