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Browsing Журнал "Алгебра и дискретная математика" ("Algebra and Discrete Mathematics") by Subject "Leibniz algebra"

Browsing Журнал "Алгебра и дискретная математика" ("Algebra and Discrete Mathematics") by Subject "Leibniz algebra"

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  • Yashchuk, V . S . (2019)
    The first step in the study of all types of algebras is the description of such algebras having small dimensions. The structure of 3-dimensional Leibniz algebras is more complicated than 1 and 2-dimensional cases. In this ...
  • Kurdachenko, L.; Semko, N.; Subbotin, I. (2018)
    Lie algebras are exactly the anticommutative Leibniz algebras. In this article, we conduct a brief analysis of the approach to Leibniz algebras which based on the concept of the anti-center (Lie-center) and antinilpotency ...
  • Kirichenko, V.V.; Kurdachenko, L.A.; Pypka, A.A.; Subbotin, I.Ya. (ДЗ"ЛНУ імені Тараса Шевченко", 2017)
    One of the key tendencies in the development of Leibniz algebra theory is the search for analogues of the basic results of Lie algebra theory. In this survey, we consider the reverse situation. Here the main attention is ...

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