SOME RESULTS ON NON-ASSOCIATIVE ALGEBRAS

Title & Authors
SOME RESULTS ON NON-ASSOCIATIVE ALGEBRAS
Wang, Moon-Ok; Hwang, Jin-Gu; Lee, Kwang-Suk;

Abstract
We define the non-associative algebra $\small{\bar{W(n,m,m+s)}}$) and we show that it is simple. We find the non-associative algebra automorphism group $\small{Aut_{non}\bar{(W(1,0,0))}\;of\;\bar{W(1,0,0)}}$. Also we find that any derivation of $\small{\bar{W(1,0,0)}}$ is a scalar derivation in this paper.
Keywords
simple;non-associative algebra;right identity;annihilator;Jaco-bian conjecture;derivation;
Language
English
Cited by
1.
NOTES ON A NON-ASSOCIATIVE ALGEBRAS WITH EXPONENTIAL FUNCTIONS III,;

대한수학회논문집, 2008. vol.23. 2, pp.153-159
2.
NOTES ON A NON-ASSOCIATIVE ALGEBRA WITH EXPONENTIAL FUNCTIONS II,;

대한수학회보, 2007. vol.44. 2, pp.241-246
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