NOTES ON A NON-ASSOCIATIVE ALGEBRAS WITH EXPONENTIAL FUNCTIONS III

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

Abstract
For $\small{\mathbb{F}[e^{{\pm}x}]_{\{{\partial}\}}}$, all the derivations of the evaluation algebra $\small{\mathbb{F}[e^{{\pm}x}]_{\{{\partial}\}}}$ is found in the paper (see [16]). For $\small{M=\{{\partial}_1,\;{\partial}_1^2\},\;Der_{non}(\mathbb{F}[e^{{\pm}x}]_M))}$ of the evaluation algebra $\small{\mathbb{F}[e^{{\pm}x},\;e^{{\pm}y}]_M}$ is found in the paper (see [2]). For $\small{M=({\partial}_1^2,\;{\partial}_2^2)}$, we find $\small{Der_{non}(\mathbb{F}[e^{{\pm}x},\;e^{{\pm}y}]_M))}$ of the evaluation algebra $\small{\mathbb{F}[e^{{\pm}x},\;e^{{\pm}y}]_M}$ in this paper.
Keywords
simple;Witt algebra;graded;radical homogeneous equivalent component;order;derivation invariant;
Language
English
Cited by
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