Browsing 2017 by Title

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  • A note on simplicity of contact Lie algebras over GF(2) 
    Zargeh, C. (ДЗ "ЛНУ імені Тараса Шевченка", 2017)
    In this note we investigate the structure of contact Lie algebras when the ground field is of characteristic 2. In order to describe the simple constituent of contact Lie algebras, by using computer algebra system, GAP, ...
  • A survey article on some subgroup embeddings and local properties for soluble PST-groups 
    Beidleman, J. C. (2017)
    Let G be a group and p a prime number. G is said to be a Yp-group if whenever K is a p-subgroup of G then every subgroup of K is an S-permutable subgroup in NG(K). The group G is a soluble PST-group if and only if G is ...
  • Algebras and logics of partial quasiary predicates 
    Nikitchenko, M.; Shkilniak, S. (2017)
    In the paper we investigate algebras and logics defined for classes of partial quasiary predicates. Informally speaking, such predicates are partial predicates defined over partial states (partial assignments) of ...
  • Cohomologies of finite abelian groups 
    Drozd, Yu.; Plakosh, A. (ДЗ"ЛНУ імені Тараса Шевченко", 2017)
    We construct a simplified resolution for the trivial G-module Z, where G is a finite abelian group, and compare it with the standard resolution. We use it to calculate cohomologies of irreducible G-lattices and their duals.
  • Dg algebras with enough idempotents, their dg modules and their derived categories 
    M., Saorín (ДЗ "ЛНУ імені Тараса Шевченка", 2017)
    We develop the theory dg algebras with enough idempotents and their dg modules and show their equivalence with that of small dg categories and their dg modules. We introduce the concept of dg adjunction and show that ...
  • Dickson’s theorem for Bol loops 
    Movsisyan, Yu. (ДЗ "ЛНУ імені Тараса Шевченка", 2017)
    Dickson characterized groups in terms of one-sided invertibility. In this note, we give comparable characterizations for Bol and Moufang loops.
  • Embeddings of (proper) power graphs of finite groups 
    Doostabadi, A.; Farrokhi, D.G. (ДЗ "ЛНУ імені Тараса Шевченка", 2017)
    The (proper) power graph of a group is a graph whose vertex set is the set of all (nontrivial) elements of the group and two distinct vertices are adjacent if one is a power of the other. Various kinds of planarity of ...
  • Equivalence of Carter diagrams 
    Stekolshchik, R. (ДЗ "ЛНУ імені Тараса Шевченка", 2017)
    We introduce the equivalence relation ρ on the set of Carter diagrams and construct an explicit transformation of any Carter diagram containing l-cycles with l > 4 to an equivalent Carter diagram containing only 4-cycles. ...
  • Finite automaton actions of free products of groups 
    Fedorova, M.; Oliynyk, A. (2017)
    It is shown that for groups G and H that act faithfully by finite state automorphisms on regular rooted trees their free product G ∗ H admits a faithful action by finite state automorphisms on some regular rooted tree.
  • Finite groups admitting a dihedral group of automorphisms 
    Erca, G.; Güloğlu, İ.Ş. (ДЗ "ЛНУ імені Тараса Шевченка", 2017)
    Let D = hα, βi be a dihedral group generated by the involutions α and β and let F = hαβi. Suppose that D acts on a finite group G by automorphisms in such a way that CG(F) = 1. In the present paper we prove that the ...
  • Flat extension and phantom homology 
    Bhattacharyya, R. (ДЗ"ЛНУ імені Тараса Шевченко", 2017)
    Phantom homology arises in tight closure theory due to small non-exactness when ‘kernel’ is not equal to ‘image’ but ‘kernel’ is in the tight closure of the ‘image’. In this paper we study a typical flat extension, which ...
  • (G, φ)-crossed product on (G, φ)-quasiassociative algebras 
    Albuquerque, H.; Barreiro, E.; Sánchez-Delgado, J.M. (ДЗ"ЛНУ імені Тараса Шевченко", 2017)
    The notions of (G, φ)-crossed product and quasicrossed system are introduced in the setting of (G, φ)-quasiassociative algebras, i.e., algebras endowed with a grading by a group G, satisfying a “quasiassociative” law. It ...
  • Galois orders of symmetric differential operators 
    Futorny, V.; Schwarz, J. (ДЗ "ЛНУ імені Тараса Шевченка", 2017)
    In this survey we discuss the theory of Galois rings and orders developed in by Sergey Ovsienko and the first author. This concept allows to unify the representation theories of Generalized Weyl Algebras and of the ...
  • Generators and ranks in finite partial transformation semigroups 
    Garba, G.U.; Imam, A.T. (2017)
    We extend the concept of path-cycles, defined in [2], to the semigroup Pn, of all partial maps on Xn = {1, 2, . . . , n}, and show that the classical decomposition of permutations into disjoint cycles can be extended ...
  • Identities related to integer partitions and complete Bell polynomials 
    Mihoubi, M.; Belbachir, H. (ДЗ"ЛНУ імені Тараса Шевченко", 2017)
    Using the (universal) Theorem for the integer partitions and the q-binomial Theorem, we give arithmetical and combinatorial identities for the complete Bell polynomials as generating functions for the number of partitions ...
  • Jacobsthal-Lucas series and their applications 
    Pratsiovytyi, M.; Karvatsky, D. (ДЗ"ЛНУ імені Тараса Шевченко", 2017)
    In this paper we study the properties of positive series such that its terms are reciprocals of the elements of Jacobsthal-Lucas sequence (Jn+2 = 2Jn+1 + Jn, J1 = 2, J2 = 1). In particular, we consider the properties of ...
  • Lattice rings: an interpretation of L-fuzzy rings as habitual algebraic structures 
    Kurdachenko, L. A; Subbotin, I. Ya.; Yashchuk, V. S. (ДЗ "ЛНУ імені Тараса Шевченка", 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 ...
  • 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 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 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.

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