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Matematicheskie Zametki, 2006, Volume 80, Issue 2, Pages 251–261
DOI: https://doi.org/10.4213/mzm2806 (Mi mzm2806) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Thin Leibniz Algebras

B. A. Omirov

Romanovskii Mathematical Institute of the National Academy of Sciences of Uzbekistan
Full-text PDF (430 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm2806
Abstract: In the paper, analogs of $0$-filiform and filiform Leibniz algebras in the infinite-dimensional case are introduced and studied. It is proved that, to classify complex thin Leibniz algebras, it suffices to study some special transformations of bases.
Keywords: potentially nilpotent Leibniz algebra, filiform Leibniz algebra, thin Leibniz algebra, central series, affine variety, Zariski topology.
Received: 04.04.2005
Revised: 28.01.2006
English version:
Mathematical Notes, 2006, Volume 80, Issue 2, Pages 244–253
DOI: https://doi.org/10.1007/s11006-006-0133-4
Bibliographic databases:
UDC: 512.554.38
Language: Russian
Citation: B. A. Omirov, “Thin Leibniz Algebras”, Mat. Zametki, 80:2 (2006), 251–261; Math. Notes, 80:2 (2006), 244–253
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
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