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http://dx.doi.org/10.4134/CKMS.c160091

A NOTE ON JORDAN DERIVATIONS OF TRIVIAL GENERALIZED MATRIX ALGEBRAS  

Li, Yanbo (School of Mathematics and Statistics Northeastern University at Qinhuangdao)
Zheng, Chenyou (School of Mathematics and Statistics Northeastern University at Qinhuangdao)
Publication Information
Communications of the Korean Mathematical Society / v.32, no.2, 2017 , pp. 261-266 More about this Journal
Abstract
H. R. Ebrahimi Vishki et al. conjectured in [1], that if every Jordan higher derivation on a trivial generalized matrix algebra $\mathcal{G}=(A,M,N,B)$ is a higher derivation, then either M = 0 or N = 0. In this note, we will give a class of counter examples.
Keywords
Jordan derivation; Jordan higher derivation; trivial generalized matrix algebra;
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Times Cited By KSCI : 1  (Citation Analysis)
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