| Full text | |
| Author(s): |
Gargate, Ivan Gonzales
;
de Mello, Thiago Castilho
Total Authors: 2
|
| Document type: | Journal article |
| Source: | Linear Algebra and its Applications; v. 674, p. 13-pg., 2023-10-01. |
| Abstract | |
In this paper we consider images of (ordinary) non-commutative polynomials on matrix algebras endowed with a graded structure. We give necessary and sufficient conditions to verify that some multilinear polynomial is a central polynomial, or a trace zero polynomial, and we use this approach to present an equivalent statement to the Lvov-Kaplansky conjecture. (c) 2023 Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 18/23690-6 - Structures, representations, and applications of algebraic systems |
| Grantee: | Ivan Chestakov |
| Support Opportunities: | Research Projects - Thematic Grants |