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Let $R$ be an associative ring with involution $\ast$ and $\alpha, \beta: R\rightarrow R$ ring homomorphisms. An additive mapping $d:R\rightarrow R$ is called an $(\alpha, \beta)^\ast$-derivation of $R$ if $d(xy)=d(x)\alpha(y^\ast)+\beta(x)d(y)$ is fulfilled for any $x,y \in R$, and an additive mapping $F:R\rightarrow R$ is called a generalized $(\alpha, \beta)^\ast$-derivation of $R$ associated with an $(\alpha, \beta)^\ast$-derivation $d$ if $F(xy)=F(x)\alpha(y^\ast)+\beta(x)d(y)$ is fulfilled for all $x,y \in R$. In this note, we intend to generalize a theorem of Vukman \cite{V}, and a theorem of Daif and El-Sayiad \cite{DS}, moreover, we generalize a theorem of Ali et al.~\cite{AFFK} and a theorem of Huang and Koc \cite{HK} related to generalized Jordan triple $(\alpha, \beta)^\ast$-derivations.
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참고문헌 (14)
참고문헌 신청
S. Ali / 2011 / Note on Jordan triple (${\alpha},{\beta}$ )*-derivations in H*-algebras / East-West J. Math. 13(2):200~206
S. Ali / 2013 / Jordan left *-centralizers of prime and semiprime rings with involution / Beitr. Algebra Geom. 54(2):609~624
S. Ali / 2010 / On Jordan (${\alpha},{\beta}$ )*-derivations in semiprime *-rings / Int. J. Algebra 4(1-4):99~108
S. Ali / 2013 / On generalized triple (${\alpha},{\beta}$ )*-derivations and related mappings / Mediterr. J. Math. 10(4):1657~1668
M. Bresar / 1989 / On some additive mappings in rings with involution / Aequa-tiones Math. 38(2-3):178~185
S. Ali / 2013 / Jordan left *-centralizers of prime and semiprime rings with involution / Beitr. Algebra Geom. 54(2):609~624
S. Ali / 2010 / On Jordan (
S. Ali / 2013 / On generalized triple (
M. Bresar / 1989 / On some additive mappings in rings with involution / Aequa-tiones Math. 38(2-3):178~185
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