Hosseini Amin and Karizaki Mehdi Mohammadzadeh: Functional equations characterizing σ-derivations. In: Acta scientiarum mathematicarum, (85) 3-4. pp. 431-440. (2019)
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Abstract
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.
| Item Type: | Article |
|---|---|
| Journal or Publication Title: | Acta scientiarum mathematicarum |
| Date: | 2019 |
| Volume: | 85 |
| Number: | 3-4 |
| ISSN: | 2064-8316 |
| Page Range: | pp. 431-440 |
| Related URLs: | http://acta.bibl.u-szeged.hu/66425/ |
| DOI: | 10.14232/actasm-018-594-6 |
| Uncontrolled Keywords: | Funkcionálegyenletek - deriváció |
| Additional Information: | Bibliogr: p. 439-440. |
| Date Deposited: | 2020. Apr. 23. 12:00 |
| Last Modified: | 2021. Mar. 25. 15:34 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/66325 |
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