Geodesic
Commutator width of elements in a free metabelian Lie algebra
Algebra i logika, Tome 53 (2014) no. 5, pp. 587-613

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Let $M(A)$ be a free metabelian Lie algebra with a finite generating set $A$ over an algebraically closed field $F$ of characteristic zero, in which the problem of there being solutions to a system of linear equations is decided algorithmically, and let $M'(A)$ be the derived subalgebra of $M(A)$. We present an algorithm for finding width of elements in $M'(A)$.
Keywords: free metabelian Lie algebra, width of element in derived algebra, solvability.
Mots-clés : equation 
@article{AL_2014_53_5_a2,
     author = {E. N. Poroshenko},
     title = {Commutator width of elements in a~free metabelian {Lie} algebra},
     journal = {Algebra i logika},
     pages = {587--613},
     publisher = {mathdoc},
     volume = {53},
     number = {5},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2014_53_5_a2/}
}
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E. N. Poroshenko. Commutator width of elements in a free metabelian Lie algebra. Algebra i logika, Tome 53 (2014) no. 5, pp. 587-613. http://geodesic.mathdoc.fr/item/AL_2014_53_5_a2/