NOTES ON AN ALGEBRA WITH SCALAR DERIVATIONS

• Journal title : Honam Mathematical Journal
• Volume 36, Issue 1,  2014, pp.179-186
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2014.36.1.179
Title & Authors
NOTES ON AN ALGEBRA WITH SCALAR DERIVATIONS
Choi, Seul Hee;

Abstract
In this paper, we consider the simple non-associative algebra $\small{\overline{WN(\mathbb{F}[e^{{\pm}x^r},0,1}$$\small{]}$$\small{_{(\partial,\partial^2)})}}$. There are many papers on finding the derivations of an associative algebra, a Lie algebra, and a non-associative algebra (see [2], [3], [4], [5], [6], [7], [12], [14]). We find all the derivations of the algebra $\small{\overline{WN(\mathbb{F}[e^{{\pm}x^r},0,1}$$\small{]}$$\small{_{(\partial,\partial^2)})}}$.
Keywords
non-associative algebra;simple;annihilator;derivation;
Language
English
Cited by
1.
A NOTE ON A WEYL-TYPE ALGEBRA, Honam Mathematical Journal, 2016, 38, 2, 269
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