Перегляд за темою "Математика"

Сортувати за: Порядок: Результатів:

  • On groups, whose non-normal subgroups are either contranormal or core-free 
    Kurdachenko, L.A.; Pypka, A.A.; Subbotin, I.Ya. (Доповіді НАН України, 2020)
    We investigate the influence of some natural types of subgroups on the structure of groups. A subgroup H of a group G is called contranormal in G, if G = H^G. A subgroup H of a group G is called core-free in G, if CoreG(H) ...
  • 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 induced modules over locally Abelian-by-polycyclic groups of finite rank 
    Tushev, A.V. (Доповіді НАН України, 2019)
    We develop some methods for studying the modules over group rings, which are based on properties of induced modules and on the embedding of these modules in the modules over rings of quotients of group rings. Using these ...
  • 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 semilinear equations in the complex plane 
    Gutlyanskiĭ, V.Ya.; Nesmelova, O.V.; Ryazanov, V.I. (Доповіді НАН України, 2019)
    We study the Dirichlet problem for the semilinear partial differential equations div (A∇u) = f (u) in simply connected domains D of the complex plane C with continuous boundary data. We prove the existence of the weak ...
  • On solvability of inhomogeneous boundary-value problems in Sobolev—Slobodetskiy spaces 
    Mikhailets, V.A.; Skorobohach, T.V. (Доповіді НАН України, 2020)
    We investigate the most general class of Fredholm one-dimensional boundary-value problems in the Sobolev—Slobodetskiy spaces. Boundary conditions of these problems may contain a derivative of the whole or fractional order. ...
  • On some commutative invariants of modules over minimax nilpotent groups 
    Tushev, A.V. (Доповіді НАН України, 2022)
    In the paper we introduce a finite system of invariants for modules over minimax nilpotent groups which consists of classes of equivalent prime ideals of the group algebra of an Abelian minimax group. In particuly, ...
  • 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 Dirichlet problem for degenerate Beltrami equations 
    Gutlyanskiĭ, V.Ya.; Ryazanov, V.I.; Sevost’yanov, E.A.; Yakubov, E. (Доповіді НАН України, 2023)
    Вивчається задача Діріхле для виродженого рівняння Бельтрамі з неперервними межовими даними у довільній однозв’язній області комплексної площини. Встановлені критерії існування регулярних дискретних відкритих розв’язків ...
  • On the distribution of a rotationally invariant α-stable process at the hitting time of a given hyperplane 
    Osypchuk, M.M.; Portenko, M.I. (Доповіді НАН України, 2018)
    We find out an explicit formula for the distribution of a rotationally invariant α-stable process at that moment of time, when it hits a given hyperplane for the first time. The case of 1 < α ≤ 2 is considered.
  • On the Hilbert problem for analytic functions in quasihyperbolic domains 
    Gutlyanskii, V.Ya.; Ryazanov, V.I.; Yakubov, E.; Yefimushkin, A.S. (Доповіді НАН України, 2019)
    We study the Hilbert boundary-value problem for analytic functions in the Jordan domains satisfying the quasi-hyperbolic boundary condition by Gehring—Martio. Assuming that the coefficients of the problem are functions ...
  • On the influence of ideals and self-idealizing subalgebras on the structure of Leibniz algebras 
    Kurdachenko, L.A.; Pypka, A.A.; Subbotin, I.Ya. (Доповіді НАН України, 2021)
    The subalgebra A of a Leibniz algebra L is self-idealizing in L, if A = IL (A). In this paper we study the structure of Leibniz algebras, whose subalgebras are either ideals or self-idealizing. More precisely, we obtain ...
  • On the nonperiodic groups, whose subgroups of infinite special rank are transitively normal 
    Kurdachenko, L.A.; Subbotin, I.Ya.; Velychko, T.V. (Доповіді НАН України, 2020)
    This paper devoted to the nonperiodic locally generalized radical groups, whose subgroups of infinite special rank are transitively normal. We proved that if such a group G includes an ascendant locally nilpotent subgroup ...
  • On the primitive irreducible representations of finitely generated nilpotent groups 
    Tushev, A.V. (Доповіді НАН України, 2021)
    We develop some tecniques whish allow us to apply the methods of commutative algebra for studing the representations of nilpotent groups. Using these methods, in particular, we show that any irreducible representation of ...
  • On the quasilinear Poisson equations in the complex plane 
    Gutlyanskii, V.Ya.; Nesmelova, O.V.; Ryazanov, V.I. (Доповіді НАН України, 2020)
  • On the regularity of solutions of quasilinear Poisson equations 
    Gutlyanskiĭ, V.Ya.; Nesmelova, O.V.; Ryazanov, V.I. (Доповіді НАН України, 2018)
    We study the Dirichlet problem for quasilinear partial differential equations of the form Δu(z) = h(z)f(u(z)) in the unit disk D ⊂ C with continuous boundary data. Here, the function h : D→R belongs to the class L^p(D), ...
  • On the role played by anticommutativity in Leibniz algebras 
    Kurdachenko, L.A.; Semko, N.N.; Subbotin, I.Ya. (Доповіді НАН України, 2019)
    Lie algebras are exactly the anticommutative Leibniz algebras. We conduct a brief analysis of the approach to Leibniz algebras which is based on the concept of anticenter (Lie-center) and antinilpotency (Lie nilpotentency).
  • On the structure of groups, whose subgroups are either normal or core-free 
    Kurdachenko, L.A.; Pypka, A.A.; Subbotin, I.Ya. (Доповіді НАН України, 2019)
    We investigate the influence of some natural types of subgroups on the structure of groups. A subgroup H of the group G is called core-free if CoreG(H) = 〈1〉. We study the groups, in which every subgroup is either normal ...
  • On the structure of Leidniz algebras, whose subalgebras are ideals or core-free 
    Chupordia, V.A.; Kurdachenko, L.A.; Semko, N.N. (Доповіді НАН України, 2020)
    An algebra L over a field F is said to be a Leibniz algebra (more precisely, a left Leibniz algebra), if it satisfies the Leibniz identity: [[a, b], c] = [a, [b, c]] — [b, [a, c]] for all a, b, c ∈ L. Leibniz algebras are ...
  • On the structure of some non-periodic groups whose subgroups of infinite special rank are transitively normal 
    Velychko, T.V. (Доповіді НАН України, 2021)
    A group G has a finite special rank r, if every finitely generated subgroup of G can be generated by at most r elements, and there exists a finitely generated subgroup H which has exactly r generators. This paper is devoted ...