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Browsing Журнал "Алгебра и дискретная математика" ("Algebra and Discrete Mathematics") by Title

Browsing Журнал "Алгебра и дискретная математика" ("Algebra and Discrete Mathematics") by Title

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  • On associative algebras satisfying the identity x5 = 0 
    Shestakov, Ivan; Zhukavets, Natalia (Луганский национальный университет им. Т. Шевченко, 2004)
  • On autotopies and automorphisms of n-ary linear quasigroups 
    Marini, Alberto; Shcherbacov, Victor (Луганский национальный университет им. Т. Шевченко, 2004)
    In this article we study structure of autotopies, automorphisms, autotopy groups and automorphism groups of n- ary linear quasigroups. We find a connection between automorphism groups of some special kinds of n-ary ...
  • On bounded m-reducibilities 
    Belyaev, Vladimir N. (Луганский национальный университет им. Т. Шевченко, 2005)
    Conditions for classes F1, F0 of non-decreasing total one-place arithmetic functions to define reducibility m [R1 R0 ] {(A,B)|A,B N & (9 r.f. h)(9f1 2 F1)(9f0 2 F0) [A h m B & f0 E h E f1]} where k E l means that ...
  • On certain families of sparse numerical semigroups with Frobenius number even 
    Tizziotti, G.; Villanueva, j. (ДЗ "ЛНУ імені Тараса Шевченка", 2019)
    This paper is about sparse numerical semigroups and applications in the Weierstrass semigroups theory. We describe and find the genus of certain families of sparse numerical semigroups with Frobenius number even and we ...
  • On certain homological invariant and its relation with Poincaré duality pairs 
    Andrade, M. G. C.; Gazon, A. B.; Lima, A. F. (ДЗ "ЛНУ імені Тараса Шевченка", 2018)
    Let G be a group, S = {Si , i ∈ I} a non empty family of (not necessarily distinct) subgroups of infinite index in G and M a Z2G-module. In [4] the authors defined a homological invariant E∗(G, S, M), which is ...
  • On check character systems over quasigroups and loops 
    Belyavskaya, G. B. (Луганский национальный университет им. Т. Шевченко, 2003-04-23)
  • On cospectral signed digraphs 
    Bhat, M. A.; Naikoo, T. A.; Pirzada, S. (ДЗ "ЛНУ імені Тараса Шевченка", 2019)
    The set of distinct eigenvalues of a signed digraph S together with their respective multiplicities is called its spectrum. Two signed digraphs of same order are said to be cospectral if they have the same spectrum. In ...
  • On decompositions of affine Coxeter groups in semi-direct products 
    Jushenko, Ekaterina (Луганский национальный университет им. Т. Шевченко, 2004)
    In this paper we study affine Coxeter groups. We show how to construct decompositions of the investigated groups into semi-direct products. We use this to give the complete list of irreducible representations of affine ...
  • On disjoint union of M-graphs 
    Kozerenko, S. (ДЗ "ЛНУ імені Тараса Шевченка", 2017)
    Given a pair (X, σ) consisting of a finite tree X and its vertex self-map σ one can construct the corresponding Markov graph Γ(X, σ) which is a digraph that encodes σ-covering relation between edges in X. M-graphs are ...
  • On dispersing representations of quivers and their connection with representations of bundles of semichains 
    Bondarenko, Vitalij M. (Луганский национальный университет им. Т. Шевченко, 29-09-23)
  • On divergence and sums of derivations 
    Chapovsky, E.; Shevchyk, O. (ДЗ"ЛНУ імені Тараса Шевченко", 2017)
    Let K be an algebraically closed field of characteristic zero and A a field of algebraic functions in n variables over K. (i.e. A is a finite dimensional algebraic extension of the field K(x1, . . . , xn) ). If D is a ...
  • On equivalence of some subcategories of modules in Morita contexts 
    Kashu, A. I. (Луганский национальный университет им. Т. Шевченко, 2003-06-04)
  • On faithful actions of groups and semigroups by orientation-preserving plane isometries 
    Vorobets, Yaroslav (Луганский национальный университет им. Т. Шевченко, 2003)
  • On finite groups with Hall normally embedded Schmidt subgroups 
    Kniahina, V. N.; Monakhov, V. S. (ДЗ "ЛНУ імені Тараса Шевченка", 2018)
    A subgroup H of a finite group G is said to be Hall normally embedded in G if there is a normal subgroup N of G such that H is a Hall subgroup of N. A Schmidt group is a non-nilpotent finite group whose all proper ...
  • On finitistic dimension of stratified algebras 
    Mazorchuk, Volodymyr (Луганский национальный университет им. Т. Шевченко, 2004)
    In this survey we discuss the results on the fini- tistic dimension of various stratified algebras. We describe what is already known, present some recent estimates, and list some open problems.
  • On free vector balleans 
    Protasov, I.; Protasova, K. (ДЗ "ЛНУ імені Тараса Шевченка", 2019)
    A vector balleans is a vector space over R en- dowed with a coarse structure in such a way that the vector opera- tions are coarse mappings. We prove that, for every ballean (X, E), there exists the unique free vector ...
  • 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 ...

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