Abstract
Let D be a division algebra. In this paper we describe additive maps f, g satisfying the identity \(x^{-1}f(x) + g(x^{-1}) = 0\) for every invertible \(x \in D\). Even more, we provide descriptions of such maps on matrix algebra over the division algebra D.
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Ferreira, B.L.M., Dantas, A.C. & Moraes, G.C. Functional identity on division algebras. Boll Unione Mat Ital (2023). https://doi.org/10.1007/s40574-023-00402-7
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DOI: https://doi.org/10.1007/s40574-023-00402-7