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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:
    1. Tuuelbay K. Kurbanbaev, “Almost inner derivations of some Leibniz algebras”, Zhurn. SFU. Ser. Matem. i fiz., 16:4 (2023), 457–474  mathnet
    2. Abdurasulov K.K., Omirov B.A., Rakhimov I.S., Solijanova G.O., “Residually Solvable Extensions of An Infinite Dimensional Filiform Leibniz Algebra”, J. Algebra, 585 (2021), 697–722  crossref  mathscinet  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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