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Sibirskii Matematicheskii Zhurnal, 2006, Volume 47, Number 1, Pages 206–210
(Mi smj842)
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This article is cited in 3 scientific papers (total in 3 papers)
Skew derivations of prime rings
A. Firat Ege University
Abstract:
Given a prime ring $R$, a skew $g$-derivation for $g\colon R\to R$ is an additive map $f\colon R\to R$ such that $f(xy)=f(x)g(y)+xf(y)=f(x)y+g(x)f(y)$ and $f(g(x))=g(f(x0)$ for all $x,y\in R$. We generalize some properties of prime rings with derivations to the class of prime rings with skew derivations.
Keywords:
skew derivation, prime ring, Jordan derivation.
Received: 17.02.2005
Citation:
A. Firat, “Skew derivations of prime rings”, Sibirsk. Mat. Zh., 47:1 (2006), 206–210; Siberian Math. J., 47:1 (2006), 169–172
Linking options:
https://www.mathnet.ru/eng/smj842 https://www.mathnet.ru/eng/smj/v47/i1/p206
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Abstract page: | 342 | Full-text PDF : | 103 | References: | 54 |
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