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Matematicheskie Zametki, 1989, Volume 45, Issue 1, Pages 101–105 (Mi mzm3438)  

This article is cited in 18 scientific papers (total in 18 papers)

A class of simple nonassociative algebras

V. T. Filippov
Received: 09.10.1986
English version:
Mathematical Notes, 1989, Volume 45, Issue 1, Pages 68–71
DOI: https://doi.org/10.1007/BF01158719
Bibliographic databases:
UDC: 519.48
Language: Russian
Citation: V. T. Filippov, “A class of simple nonassociative algebras”, Mat. Zametki, 45:1 (1989), 101–105; Math. Notes, 45:1 (1989), 68–71
Citation in format AMSBIB
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\paper A class of simple nonassociative algebras
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\transl
\jour Math. Notes
\yr 1989
\vol 45
\issue 1
\pages 68--71
\crossref{https://doi.org/10.1007/BF01158719}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1989CA56700013}
Linking options:
  • https://www.mathnet.ru/eng/mzm3438
  • https://www.mathnet.ru/eng/mzm/v45/i1/p101
  • This publication is cited in the following 18 articles:
    1. Y. Peng, Y. Tan, “Extensible Derivations and Automorphisms in the Abelian Extensions of Novikov Algebras by Their Modules”, Sib Math J, 66:1 (2025), 177  crossref
    2. Iritan Ferreira dos Santos, Alexey M. Kuz'min, Artem Lopatin, “Novikov algebras in low dimension: identities, images and codimensions”, Journal of Algebra, 2025  crossref
    3. V. N. Zhelyabin, A. S. Zakharov, “On Finite-Dimensional Simple Novikov Algebras of Characteristic p”, Sib Math J, 65:3 (2024), 680  crossref
    4. A. S. Zakharov, “Prostye algebry Novikova — Puassona”, Sib. elektron. matem. izv., 20:2 (2023), 1396–1404  mathnet  crossref
    5. Alexandr Pozhidaev, Ualbai Umirbaev, Viktor Zhelyabin, “On simple left-symmetric algebras”, Journal of Algebra, 621 (2023), 58  crossref
    6. Kobiljon Abdurasulov, Ivan Kaygorodov, Abror Khudoyberdiyev, “The algebraic classification of nilpotent Novikov algebras”, Filomat, 37:20 (2023), 6617  crossref
    7. A. S. Zakharov, “O nekotorom klasse obobschennykh differentsirovanii”, Algebra i logika, 61:6 (2022), 687–705  mathnet  crossref
    8. Luisa M. Camacho, Iqboljon Karimjanov, Ivan Kaygorodov, Abror Khudoyberdiyev, “One-generated nilpotent Novikov algebras”, Linear and Multilinear Algebra, 70:2 (2022), 331  crossref
    9. A. P. Pozhidaev, I. P. Shestakov, “On the right-symmetric algebras with a unital matrix subalgebra”, Siberian Math. J., 62:1 (2021), 138–147  mathnet  crossref  crossref  isi  elib
    10. Orest D. Artemovych, Denis Blackmore, Anatolij K. Prykarpatski, “Non-associative structures of commutative algebras related with quadratic Poisson brackets”, European Journal of Mathematics, 6:1 (2020), 208  crossref
    11. A. S. Zakharov, “Superalgebry Gelfanda–Dorfmana–Novikova–Puassona i ikh obertyvayuschie”, Sib. elektron. matem. izv., 16 (2019), 1843–1855  mathnet  crossref
    12. Iqboljon Karimjanov, Ivan Kaygorodov, Abror Khudoyberdiyev, “The algebraic and geometric classification of nilpotent Novikov algebras”, Journal of Geometry and Physics, 143 (2019), 11  crossref
    13. Xin Zhou, Liangyun Chen, Yuan Chang, “L-fuzzy ideals and L-fuzzy subalgebras of Novikov algebras”, Open Mathematics, 17:1 (2019), 1538  crossref
    14. Bokut L.A. Chen Yu. Zhang Z., “Gr?bner?Shirshov bases method for Gelfand?Dorfman?Novikov algebras”, J. Algebra. Appl., 16:1 (2017), 1750001  crossref  mathscinet  zmath  isi  elib  scopus
    15. V. N. Zhelyabin, A. S. Zakharov, “Speciality of Jordan Superalgebras Related to Novikov–Poisson Algebras”, Math. Notes, 97:3 (2015), 341–348  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    16. A. S. Zakharov, “Algebry Novikova–Puassona malykh razmernostei”, Sib. elektron. matem. izv., 12 (2015), 381–393  mathnet  crossref
    17. A. S. Zakharov, “Embedding Novikov–Poisson algebras in Novikov–Poisson algebras of vector type”, Algebra and Logic, 52:3 (2013), 236–249  mathnet  crossref  mathscinet  isi
    18. V. N. Zhelyabin, A. S. Tikhov, “Novikov–Poisson algebras and associative commutative derivation algebras”, Algebra and Logic, 47:2 (2008), 107–117  mathnet  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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