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  • On functional equations and distributive second order formulae with specialized quantifiers 
    Movsisyan, Yu. (ДЗ "ЛНУ імені Тараса Шевченка", 2018)
    The structure of invertible algebras with distributive second order formulae with specialized quantifiers is given. Asa consequence, the applications for solutions of the some functional equations of distributivity on ...
  • On groups of finite normal rank 
    Dashkova, O.Yu. (Луганский национальный университет им. Т. Шевченко, 2002-11-20)
    Іn this article the investigation of groups of fi- nite normal rank is continued. The finiteness of normal rank of nonabelian p-group G is proved where G has a normal elementary abelian p-subgroup A for which quotient ...
  • On groups whose subgroups of infinite special rank are transitively normal 
    Semko, N.N.; Velychko, T.V. (ДЗ"ЛНУ імені Тараса Шевченко", 2017)
    This paper sheds a light on periodic soluble groups whose subgroups of infinite special rank are transitively normal.
  • On groups with biprimary subgroups of even order 
    Sokhor, I. (2017)
    We investigate groups in which maximal sub- groups of even order are primary or biprimary. We also research soluble groups with restriction on a number of prime devisors of some proper subgroup orders. We give ...
  • On growth of the inverse semigroup of partially defined co–finite automorphisms of integers 
    Bezushchak, O. (Луганский национальный университет им. Т. Шевченко, 2004-03-29)
  • On hereditary reducibility of 2-monomial matrices over commutative rings 
    Bondarenko, V. M.; Gildea, J.; Tylyshchak, A. A.; Yurchenko, N.V. (2019)
    A 2-monomial matrix over a commutative ring R is by definition any matrix of the form M(t, k, n) = Φ Ik 0 0 tIn−k , 0 < k < n, where t is a non-invertible element of R, Φ the companion matrix to λ n − 1 and Ik ...
  • On indices and eigenvectors of quivers 
    Dudchenko, I .; lakhotnyk, M.P. (ДЗ "ЛНУ імені Тараса Шевченка", 2019)
    We study formulas for eigenvectors of strongly connected simply laced quivers in terms of eigenvalues. The relation of these formulas to the isomorphism of quivers is investigated.
  • On intersections of normal subgroups in free groups 
    Kulikova, O. V. (Луганский национальный университет им. Т. Шевченко, 2002-12-09)
  • On intersections of normal subgroups in groups 
    Kulikova, O. V. (Луганский национальный университет им. Т. Шевченко, 2004)
    The paper is a generalization of. For a group H = hA|Oi, conditions for the equality N1 ∩ N2 = [N1, N2] are given in terms of pictures, where Ni is the normal closure of a set R i ⊂ H for i = 1, 2.
  • On intersections of normal subgroups in groups 
    Kulikova, O. V. (2004)
    The paper is a generalization of . For a group H = hA|Oi, conditions for the equality N1 ∩ N2 = [ N1, N2] are given in terms of pictures, where ¯Ni is the normal closure of a set Ri ⊂ H for i = 1, 2.
  • On k-graceful labeling of pendant edge extension of complete bipartite graphs 
    Bhoumik, S.; Mitra, S. (ДЗ "ЛНУ імені Тараса Шевченка", 2018)
    For any two positive integers m, n, we denote the graph Km,n ⊙ K1 by G. Ma Ke-Jie proposed a conjecture [9] that pendant edge extension of a complete bipartite graph is a k- graceful graph for k > 2. In this paper we ...
  • On large indecomposable modules, endo-wild representation type and right pure semisimple rings 
    Simson, Daniel (Луганский национальный университет им. Т. Шевченко, 2003-03-24)
  • On lattices, modules and groups with many uniform elements 
    Krempa, Jan (Луганский национальный университет им. Т. Шевченко, 2004)
  • On locally finite groups whose cyclic subgroups are GNA-subgroups 
    Pypka, A.A. (ДЗ "ЛНУ імені Тараса Шевченка", 2017)
    In this paper we obtain the description of locally finite groups whose cyclic subgroups are GNA-subgroups.
  • On mappings of terms determined by hypersubstitutions 
    Koppitz, J¨org; Shtrakov, Slavcho (ДЗ "Луганський національний університет імені Тараса Шевченка, 2005)
    The extensions of hypersubstitutions are mappings on the set of all terms. In the present paper we characterize all hypersubstitutions which provide bijections on the set of all terms. The set of all such hypersubstitutions ...
  • On new multivariate cryptosystems with nonlinearity gap 
    Ustimenko, V. (2017)
    The pair of families of bijective multivariate maps of kind Fn and Fn −1 on affine space Kn over finite commutative ring K given in their standard forms has a nonlinearity gap if the degree of Fn is bounded from above ...
  • On one class of algebras 
    Zhuchok, Y. V. (2014)
  • On one class of algebras 
    Zhuchok, Y. V. (2014)
    In this paper a g-dimonoid which is isomorphic to the free g-dimonoid is given and a free n-nilpotent g-dimonoid is constructed. We also present the least n-nilpotent congruence on a free g-dimonoid and give numerous ...
  • On posets of width two with positive Tits form 
    Bondarenko, Vitalij M.; Styopochkina, Marina V. (Луганский национальный университет им. Т. Шевченко, 2005)
    We give a complete description of the finite posets of width two with the Tits form to be positive. This problem arises in studying the categories of representations of posets of finite type.
  • On power structures 
    Bosnjak, I.; Madarász, R. (Луганский национальный университет им. Т. Шевченко, 2003-01-20)