Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2018, Volume 144, Pages 65–73 (Mi into273)  
This article is cited in 3 scientific papers (total in 3 papers)

Local and $2$-Local Differentiations of $p$-Filiform Leibniz Algebras

Sh. A. Ayupova, K. K. Kudaybergenovb, B. B. Yusupovc

a V. I. Romanovskiy Institute of Mathematcs of the Academy of Sciences of Uzbekistan
b Karakalpak State University named after Berdakh
c National University of Uzbekistan named after M. Ulugbek, Tashkent
Full-text PDF (181 kB) Citations (3)
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Abstract: In this paper, we study local and $2$-local differentiations of $p$-filiform Leibniz algebras, describe all local differentiations of $p$-filiform non-Lie Leibniz algebras, and also show that there exist two-local differentiations on these algebras that are not differentiations.
Keywords: Leibniz algebra, $p$-filiform Leibniz algebra, differentiation, local differentiation, $2$-local differentiation.
English version:
Journal of Mathematical Sciences, 2020, Volume 245, Issue 3, Pages 359–367
DOI: https://doi.org/10.1007/s10958-020-04697-1
Bibliographic databases:
Document Type: Article
UDC: 512.554.38
MSC: Primary 17A32; Secondary 17B10, 17B20
Language: Russian
Citation: Sh. A. Ayupov, K. K. Kudaybergenov, B. B. Yusupov, “Local and $2$-Local Differentiations of $p$-Filiform Leibniz Algebras”, Proceedings of the International Conference «Problems of Modern Topology and its Applications», Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 144, VINITI, M., 2018, 65–73; Journal of Mathematical Sciences, 245:3 (2020), 359–367
Citation in format AMSBIB
\Bibitem{AyuKudYus18}
\by Sh.~A.~Ayupov, K.~K.~Kudaybergenov, B.~B.~Yusupov
\paper Local and $2$-Local Differentiations of $p$-Filiform Leibniz Algebras
\inbook Proceedings of the International Conference «Problems of Modern Topology and its Applications»
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2018
\vol 144
\pages 65--73
\publ VINITI
\publaddr M.
\mathnet{http://mi.mathnet.ru/into273}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3829872}
\zmath{https://zbmath.org/?q=an:1464.17003}
\transl
\jour Journal of Mathematical Sciences
\yr 2020
\vol 245
\issue 3
\pages 359--367
\crossref{https://doi.org/10.1007/s10958-020-04697-1}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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