On certain functional equation in prime rings
The purpose of this paper is to prove the following result. Let RR be prime ring of characteristic different from two and three, and let F:R→RF:R\to R be an additive mapping satisfying the relation F(x3)=F(x2)x−xF(x)x+xF(x2)F\left({x}^{3})=F\left({x}^{2})x-xF\left(x)x+xF\left({x}^{2}) for all x∈Rx\i...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2022-04-01
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| Series: | Open Mathematics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/math-2022-0002 |