科研之友
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摘要
Let K be an algebraically closed field of arbitrary characteristic and an abelian multiplicative group equipped with a bicharacter : K*. It is proved that, for any finite-dimensional derivation simple color algebra A over K, there exists a simple color algebra S and a color vector space V such that A S S(V), where S(V) is the -symmetric algebra of V. As an application of this result, a necessary and sufficient condition such that a Lie color algebra is semisimple is obtained.
