Let K be an algebraically closed field of arbitrary characteristic and Î an abelian multiplicative group equipped with a bicharacter ε: ΠàΠâ 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 Sε(V), where Sε(V) is the ε-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.View full textDownload full textKey WordsDerivation simple color algebras, ε-Symmetric algebras, Semisimple Lie color algebras2000 Mathematics Subject Classification17A36, 17A60, 17B05, 17B75Related var addthis_config = { ui_cobrand: "Taylor & Francis Online", services_compact: "citeulike,netvibes,twitter,technorati,delicious,linkedin,facebook,stumbleupon,digg,google,more", pubid: "ra-4dff56cd6bb1830b" }; Add to shortlist Link Permalink http://dx.doi.org/10.1080/00927870802243705
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