On embeddings of some quotient algebras of free sums of Lie algebras |
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Authors: | A L Shmelkin A V Syrtsov |
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Institution: | (1) Moscow State University, Russia |
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Abstract: | Let (B
i
)
i∈I
be a set of Lie algebras; let X be a free Lie algebra; let
* X be their free sum; let R be an ideal of F such that R ⋂ B
i
= 1 (i ∈ I); let V be a variety of Lie algebras such that V(R) is an ideal of F. Under some restrictions, we construct an embedding of F/V(R) into the verbal wreath product of a free algebra of the variety V with F/R.
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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 10, No. 4, pp. 235–241, 2004. |
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Keywords: | |
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