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Algebra i logika, 2014, Volume 53, Number 5, Pages 587–613 (Mi al652)  
This article is cited in 2 scientific papers (total in 2 papers)

Commutator width of elements in a free metabelian Lie algebra

E. N. Poroshenko

Novosibirsk State Technical University, pr. Marksa 20, Novosibirsk, 630092, Russia
Full-text PDF (271 kB) Citations (2)
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Abstract: 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, equation, solvability.
Received: 26.07.2014
English version:
Algebra and Logic, 2014, Volume 53, Issue 5, Pages 377–396
DOI: https://doi.org/10.1007/s10469-014-9298-1
Bibliographic databases:
Document Type: Article
UDC: 512.554.33
Language: Russian
Citation: E. N. Poroshenko, “Commutator width of elements in a free metabelian Lie algebra”, Algebra Logika, 53:5 (2014), 587–613; Algebra and Logic, 53:5 (2014), 377–396
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и логика Algebra and Logic
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