Images of Generalized Multilinear Polynomials on Upper Triangular Matrix Algebras
A polynomial is called a generalized multilinear polynomial if it is a sum of some multilinear polynomials over a field. The goal of this paper is to give a description of the images of generalized multilinear polynomials on upper triangular matrix algebras, generalizing all results of the Fagundes–Mello conjecture proposed by Fagundes and Mello in 2019.
Authors
- Qian Chen (ORCID: https://orcid.org/0000-0002-1909-302X)
- Yu Wang (ORCID: https://orcid.org/0000-0002-7837-3988)
Institutions
- Shanghai Normal University (CN)
- Xiamen University of Technology (CN)
Publication Details
- Journal
- Axioms
- Published
- 2025-08-30
- DOI
- https://doi.org/10.3390/axioms14090671
- Primary Topic
- Advanced Topics in Algebra
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Xiamen University