Functional equations characterizing σ-derivations
The main purpose of this article is to prove the following result: Forintegers m,n with m≥0,n≥0, and m+n6= 0, let R be an(m+n+2)!-torsionfree prime ring with the identity elemente. Suppose thatd, σ:R → Rare two additive mappings such that σ is a monomorphism with σ(e) =e, and d(R)⊆σ(R). If d and σ s...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
2019
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| Sorozat: | Acta scientiarum mathematicarum
85 No. 3-4 |
| Kulcsszavak: | Funkcionálegyenletek - deriváció |
| doi: | 10.14232/actasm-018-594-6 |
| Online Access: | http://acta.bibl.u-szeged.hu/66325 |
| Tartalmi kivonat: | The main purpose of this article is to prove the following result: Forintegers m,n with m≥0,n≥0, and m+n6= 0, let R be an(m+n+2)!-torsionfree prime ring with the identity elemente. Suppose thatd, σ:R → Rare two additive mappings such that σ is a monomorphism with σ(e) =e, and d(R)⊆σ(R). If d and σ satisfy both of the equations d(xy)(σ(z)−z)−d(x)(σ(yz)−σ(y)z) +σ(xy)d(z)−σ(x)(d(yz)−d(y)z) = O and d(xm+n+1) = (m+n+ 1)σ(xm)d(x)σ(xn)for allx, y, z∈ R, then d is a σ-derivation. |
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| Terjedelem/Fizikai jellemzők: | 431-440 |
| ISSN: | 2064-8316 |