Перегляд за автором "Yashchuk, V.S."

Сортувати за: Порядок: Результатів:

  • Lattice groups 
    Kurdachenko, L.A.; Yashchuk, V.S.; Subbotin, I.Y. (Algebra and Discrete Mathematics, 2015)
    In this paper, we introduce some algebraic structure associated with groups and lattices. This structure is a semigroup and it appeared as the result of our new approach to the fuzzy groups and L-fuzzy groups where L is a ...
  • Lattice groups 
    Kurdachenko, L.A.; Yashchuk, V.S.; Subbotin, I.Ya. (Algebra and Discrete Mathematics, 2015)
    In this paper, we introduce some algebraic struc-ture associated with groups and lattices. This structure is a semi-group and it appeared as the result of our new approach to thefuzzy groups andL-fuzzy groups whereLis a ...
  • Lattice rings: an interpretation of L-fuzzy rings as habitual algebraic structures 
    Kurdachenko, L.A.; Ya, I.; Yashchuk, V.S. (Algebra and Discrete Mathematics, 2017)
    In this paper, we introduce some algebraic structure associated with rings and lattices. It appeared as the result of our new approach to the fuzzy rings and L-fuzzy rings where L is a lattice. This approach allows us to ...
  • Leibniz algebras of dimension 3 over finite fields 
    Yashchuk, V.S. (Доповіді НАН України, 2018)
    The first thing in the study of all types of algebras is the description of algebras having small dimensions. Unlike the simpler cases of 1- and 2-dimensional Leibniz algebras, the structure of 3-dimensional Leibniz ...
  • On ideals and contraideals in Leibniz algebras 
    Kurdachenko, L.A.; Subbotin, I.Ya.; Yashchuk, V.S. (Доповіді НАН України, 2020)
    A subalgebra S of a Leibniz algebra L is called a contraideal, if an ideal, generated by S coincides with L. We study the Leibniz algebras, whose subalgebras are either an ideal or a contraideal. Let L be an algebra over ...
  • On Leibniz algebras, whose subideals are ideals 
    Kurdachenko, L.A.; Subbotin, I.Ya.; Yashchuk, V.S. (Доповіді НАН України, 2017)
    We obtain a description of solvable Leibniz algebras, whose subideals are ideals. A description of certain types of Leibniz T-algebras is also obtained. In particular, it is established that the structure of Leibniz ...
  • On some Leibniz algebras, having small dimension 
    Yashchuk, V.S. (Algebra and Discrete Mathematics, 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 ...
  • On the derivations of Leibniz algebras of low dimension 
    Kurdachenko, L.A.; Semko, M.M.; Yashchuk, V.S. (Доповіді НАН України, 2023)
    Let L be an algebra over a field F. Then L is called a left Leibniz algebra if its multiplication operations [⋅, ⋅] additionally satisfy the so-called left Leibniz identity: [[a,b],c] = [a,[b,c]] – [b,[a,c]] for all ...
  • On the structure of the algebra of derivations of cyclic Leibniz algebras 
    Kurdachenko, L.A.; Semko, M.M.; Yashchuk, V.S. (Algebra and Discrete Mathematics, 2021)
    We describe the algebra of derivation of finitedimensional cyclic Leibniz algebra.