Title : ( Characterizations of higher and ternary higher derivations )
Authors: Ali Reza Janfada , Hossein Saidi , Madjid Mirzavaziri ,
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Abstract
Two characterizations for higher derivations on commutative algebras and higher ternary derivations on ternary algebras are given. In particular, we show that a sequence $\{h_{n}\}_{n=0}^{\infty}$ of linear mappings on a ternary algebra $\mathcal{B}$ is a strong higher ternary derivation if and only if there is a sequence $\{d_{n}\}_{n=1}^{\infty}$ with $d_0=0$ of ternary derivations on $\mathcal{B}$ such that $(n+1)h_{n+1}=\sum_{k=0}^{n}d_{k+1}h_{n-k}$ for each $n\geq 0$. As an application we prove that every higher $C^*$-ternary derivation on $C^*$-algebras is continuous.
Keywords
Higher derivations; Higher ternary derivations
@article{paperid:1046546,
author = {Ali Reza Janfada and Hossein Saidi and Madjid Mirzavaziri, },
title = {Characterizations of higher and ternary higher derivations},
journal = {Journal of Advanced Research in Pure Mathematics},
year = {2014},
volume = {6},
number = {2},
month = {February},
issn = {1943-2380},
pages = {33--42},
numpages = {9},
keywords = {Higher derivations; Higher ternary derivations},
}
%0 Journal Article
%T Characterizations of higher and ternary higher derivations
%A Ali Reza Janfada
%A Hossein Saidi
%A Madjid Mirzavaziri,
%J Journal of Advanced Research in Pure Mathematics
%@ 1943-2380
%D 2014
