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Journal of Siberian Federal University. Mathematics & Physics, 2019, Volume 12, Issue 2, Pages 173–184
DOI: https://doi.org/10.17516/1997-1397-2019-12-2-173-184 (Mi jsfu747) 		 
This article is cited in 14 scientific papers (total in 14 papers)

The variety of nilpotent Tortkara algebras

Ilya B. Gorshkova, Ivan Kaygorodovb, Alexey A. Kytmanovc, Mohamed A. Salimd

a Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041, Russia
b CMCC, Universidade Federal do ABC, Santo André, Brasil
c Institute of Space and Information Technologies, Siberian Federal University, Kirensky, 26, Krasnoyarsk, 660074, Russia
d United Arab Emirates University, Al Ain, UAE
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DOI: https://doi.org/10.17516/1997-1397-2019-12-2-173-184
Abstract: We give algebraic and geometric classification of all $5$-dimensional nilpotent Tortkara algebras over complex field.
Keywords: Tortkara algebra, algeraic classification, central extension, geometric classification, degenerations.
Funding agency Grant number
Russian Science Foundation 18-71-10007
United Arab Emirates University (9) 2017 Grant G00002599
The first part of this work is supported by the Russian Science Foundation under grant 18-71-10007. The second part of this work was supported by UAEU UPAR (9) 2017 Grant G00002599 (Mohamed A. Salim).
Received: 06.11.2018
Received in revised form: 06.12.2018
Accepted: 06.08.2018
Bibliographic databases:
Document Type: Article
UDC: 512.554.1
Language: English
Citation: Ilya B. Gorshkov, Ivan Kaygorodov, Alexey A. Kytmanov, Mohamed A. Salim, “The variety of nilpotent Tortkara algebras”, J. Sib. Fed. Univ. Math. Phys., 12:2 (2019), 173–184
Citation in format AMSBIB
\Bibitem{GorKayKyt19}
\by Ilya~B.~Gorshkov, Ivan~Kaygorodov, Alexey~A.~Kytmanov, Mohamed~A.~Salim
\paper The variety of nilpotent Tortkara algebras
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2019
\vol 12
\issue 2
\pages 173--184
\mathnet{http://mi.mathnet.ru/jsfu747}
\crossref{https://doi.org/10.17516/1997-1397-2019-12-2-173-184}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000467247000004}
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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