On rational functional identities

dc.contributor.authorLouisa Catalano
dc.contributor.authorTomas Merchan
dc.date.accessioned2024-05-21T13:44:35Z
dc.date.available2024-05-21T13:44:35Z
dc.description.abstractIn 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.identifierDOI: 10.1080/00927872.2023.2247488
dc.identifier.urihttps://hdl.handle.net/20.500.12951/1543
dc.titleOn rational functional identities
dc.typeJournal Article, Academic Journal
dcterms.bibliographicCitationCommunications in Algebra, (August 22, 2023)
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