Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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AN ALGEBRA WITH RIGHT IDENTITIES AND ITS ANTISYMMETRIZED ALGEBRA

  • Received : 2008.02.13
  • Accepted : 2008.04.10
  • Published : 2008.06.25
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Abstract

We define the Lie-admissible algebra NW$({\mathbb{F}}[e^{A[s]},x_1,{\cdots},x_n])$ 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$(F[e^{{\pm}x^r},x])$ and its antisymmetrized algebra W$(F[e^{{\pm}x^r},x])$ in the paper.

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References

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