NOTES ON A NON-ASSOCIATIVE ALGEBRA WITH EXPONENTIAL FUNCTIONS II

Title & Authors
NOTES ON A NON-ASSOCIATIVE ALGEBRA WITH EXPONENTIAL FUNCTIONS II
Choi, Seul-Hee;

Abstract
For the evaluation algebra $\small{F[e^{{\pm}x}]_M\;if\;M=\{{\partial}\}}$, then $\small{Der_{non}(F[e^{{\pm}x}]_M)}$ of the evaluation algebra $\small{(F[e^{{\pm}x}]_M)}$ is found in the paper [15]. For $\small{M=\{{\partial},\;{\partial}^2\}}$, we find $\small{Der_{non}(F[e^{{\pm}x}]_M))}$ of the evaluation algebra $\small{F[e^{{\pm}x}]_M}$ in this paper. We show that there is a non-associative algebra which is the direct sum of derivation invariant subspaces.
Keywords
Language
English
Cited by
1.
NOTES ON A NON-ASSOCIATIVE ALGEBRAS WITH EXPONENTIAL FUNCTIONS III,;

대한수학회논문집, 2008. vol.23. 2, pp.153-159
1.
Non-associative Algebras with n-Exponential Functions, Algebra Colloquium, 2009, 16, 01, 85
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