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http://dx.doi.org/10.4134/BKMS.2007.44.1.095

SOME RESULTS ON NON-ASSOCIATIVE ALGEBRAS  

Wang, Moon-Ok (Department of Mathematics Hanyang University)
Hwang, Jin-Gu (Department of Mathematics Hanyang University)
Lee, Kwang-Suk (Department of Mathematics Hanyang University)
Publication Information
Bulletin of the Korean Mathematical Society / v.44, no.1, 2007 , pp. 95-102 More about this Journal
Abstract
We define the non-associative algebra $\bar{W(n,m,m+s)}$) and we show that it is simple. We find the non-associative algebra automorphism group $Aut_{non}\bar{(W(1,0,0))}\;of\;\bar{W(1,0,0)}$. Also we find that any derivation of $\bar{W(1,0,0)}$ is a scalar derivation in this paper.
Keywords
simple; non-associative algebra; right identity; annihilator; Jaco-bian conjecture; derivation;
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