On Fagundes-Mello conjecture
| Autor: | Yingyu Luo, Yu Wang |
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| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Journal of Algebra. 592:118-152 |
| ISSN: | 0021-8693 |
| DOI: | 10.1016/j.jalgebra.2021.11.008 |
| Popis: | We define the β-index of a nonzero multilinear polynomial, which gives a kind of classification of a nonzero multilinear polynomial. By using the β-index we give a complete description of the images of multilinear polynomials in non-commutative variables evaluated on upper triangular matrix algebras, which solves the Fagundes-Mello Conjecture proposed by Fagundes and Mello in 2019. The Fagundes-Mello Conjecture is an important variation of the old and famous Lvov-Kaplansky Conjecture. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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