On rational functional identities
| dc.contributor.author | Louisa Catalano | |
| dc.contributor.author | Tomas Merchan Rodriguez | |
| dc.date.accessioned | 2024-05-08T19:06:56Z | |
| dc.date.available | 2024-05-08T19:06:56Z | |
| dc.description.abstract | In this paper, we progress in the general study of rational functional identities in the setting of division rings. The main theorem in the paper states that the only additive maps $f$ and $g$ satisfying that $f(x)=-x^ng(x^{-1}) $, for $n=3$ or $4$, are the zero maps. In addition, we provide an alternative proof to the result proved by Dar and Jing regarding the classification of additive maps $f$ and $g$ satisfying that $f(x)=-x^2g(x^{-1})$. | |
| dc.identifier | DOI: 10.1080/00927872.2023.2247488 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12951/309 | |
| dc.title | On rational functional identities | |
| dc.type | Journal Article, Academic Journal | |
| dcterms.bibliographicCitation | Communications in Algebra, (August 22, 2023) |