On certain functional equation related to derivations
In this article, we prove the following result. Let n≥3n\ge 3 be some fixed integer and let RR be a prime ring with char(R)≠(n+1)!2n−2{\rm{char}}\left(R)\ne \left(n+1)\!{2}^{n-2}. Suppose there exists an additive mapping D:R→RD:R\to R satisfying the relation 2n−2D(xn)=∑i=0n−2n−2ixiD(x2)xn...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2024-02-01
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| Series: | Open Mathematics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/math-2023-0166 |