AN ALGEBRA WITH RIGHT IDENTITIES AND ITS ANTISYMMETRIZED ALGEBRA

• Journal title : Honam Mathematical Journal
• Volume 30, Issue 2,  2008, pp.273-281
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2008.30.2.273
Title & Authors
AN ALGEBRA WITH RIGHT IDENTITIES AND ITS ANTISYMMETRIZED ALGEBRA
Choi, Seul-Hee;

Abstract
We define the Lie-admissible algebra NW$\small{({\mathbb{F}}[e^{A[s]},x_1,{\cdots},x_n])}$ in this work. We show that the algebra and its antisymmetrized (i.e., Lie) algebra are simple. We also find all the derivations of the algebra NW$\small{(F[e^{{\pm}x^r},x])}$ and its antisymmetrized algebra W$\small{(F[e^{{\pm}x^r},x])}$ in the paper.
Keywords
Language
English
Cited by
1.
A GROWING ALGEBRA CONTAINING THE POLYNOMIAL RING,;

호남수학학술지, 2010. vol.32. 3, pp.467-480
2.
NOTES ON AN ALGEBRA WITH SCALAR DERIVATIONS,;

호남수학학술지, 2014. vol.36. 1, pp.179-186
1.
NOTES ON AN ALGEBRA WITH SCALAR DERIVATIONS, Honam Mathematical Journal, 2014, 36, 1, 179
2.
A GROWING ALGEBRA CONTAINING THE POLYNOMIAL RING, Honam Mathematical Journal, 2010, 32, 3, 467
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