Title  On some embedding of Lie algebras. 
Author(s)  E. Chibrikov 
Type  Article in Journal 
Abstract  In this paper we prove that every recursively presented Lie algebra over a field which is finite extention of its simple subfield can be embedded in a recursively presented Lie algebra defined by relations which are equalities of (nonassociative) words of generators and α + β = γ(α, β, γ are free generators).

Keywords  Recursively presented Lie algebras; embedding; Higman's theorem; Grobner–Shirshov basis 
ISSN  02194988 
URL 
http://www.worldscientific.com/doi/abs/10.1142/S0219498811005439 
Language  English 
Journal  J. Algebra Appl. 
Volume  11 
Number  1 
Pages  12 
Publisher  World Scientific, Singapore 
Year  2012 
Edition  0 
Translation 
No 
Refereed 
No 