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Перегляд Algebra and Discrete Mathematics, 2017, Vol. 23, Vol. 24 за назвою

Репозиторій DSpace/Manakin

Перегляд Algebra and Discrete Mathematics, 2017, Vol. 23, Vol. 24 за назвою

Сортувати за: Порядок: Результатів:

  • A criterion of elementary divisor domain for distributive domains 
    Bokhonko, V.; Zabavsky, B.V. (Algebra and Discrete Mathematics, 2017)
    In this paper we introduce the notion of the neat range one for Bezout duo-domains. We show that a distributive Bezout domain is an elementary divisor domain if and only if it is a duo-domain of neat range one.
  • Algebras and logics of partial quasiary predicates 
    Nikitchenko, M.; Shkilniak, S. (Algebra and Discrete Mathematics, 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 variables. ...
  • A new way to construct 1-singular Gelfand-Tsetlin modules 
    Zadunaisky, P. (Algebra and Discrete Mathematics, 2017)
    We present a simplified way to construct the Gelfand-Tsetlin modules overgl(n,C) related to a 1-singular GT-tableau defined in [6]. We begin by reframing the classical construction of generic Gelfand-Tsetlin modules found ...
  • A note on Hall S-permutably embedded subgroups of finite groups 
    Sinitsa, D. (Algebra and Discrete Mathematics, 2017)
    Let G be a finite group. Recall that a subgroup A of G is said to permute with a subgroup B if AB=BA. A subgroup A of G is said to be S-quasinormal or S-permutable in G if A permutes with all Sylow subgroups of G. ...
  • A note on simplicity of contact Lie algebras over GF(2) 
    Zargeh, C. (Algebra and Discrete Mathematics, 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. (Algebra and Discrete Mathematics, 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 a ...
  • Cohomologies of finite abelian groups 
    Drozd, Yu.A.; Plakosh, A.I. (Algebra and Discrete Mathematics, 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 
    Saorín, M. (Algebra and Discrete Mathematics, 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 the ...
  • Dickson's theorem for Bol loops 
    Movsisyan, Y. (Algebra and Discrete Mathematics, 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., M. (Algebra and Discrete Mathematics, 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. (Algebra and Discrete Mathematics, 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. (Algebra and Discrete Mathematics, 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 
    Ercan, G.; Güloğlu, İ.Ş. (Algebra and Discrete Mathematics, 2017)
    Let D=⟨α,β⟩ be a dihedral group generated by the involutions α and β and let F=⟨αβ⟩. 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 nilpotent ...
  • Flat extension and phantom homology 
    Bhattacharyya, R. (Algebra and Discrete Mathematics, 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 ...
  • Galois orders of symmetric differential operators 
    Futorny, V.; Schwarz, J. (Algebra and Discrete Mathematics, 2017)
    In this survey we discuss the theory of Galois rings and orders developed in ([20], [22]) by Sergey Ovsienko and the first author. This concept allows to unify the representation theories of Generalized Weyl Algebras ([4]) ...
  • Generators and ranks in finite partial transformation semigroups 
    Garba, G.U.; Imam, A.T. (Algebra and Discrete Mathematics, 2017)
    We extend the concept of path-cycle, 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 to elements of Pn by means of ...
  • (G,ϕ) -crossed product on (G,ϕ)-quasiassociative algebras 
    Mamede Albuquerque, H.M.; Félix Barreiro, M.E.; Sánchez Delgado, J.M. (Algebra and Discrete Mathematics, 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 ...
  • Identities related to integer partitions and complete Bell polynomials 
    Mihoubi, M.; Belbachir, H. (Algebra and Discrete Mathematics, 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 ...
  • Igor Rostislavovich Shafarevich (03.06.1923 -- 19.02.2017) 
    Drozd, Yu.; Kirichenko, V.; Petravhuk, A.; Petrychkvych, V.; Shapochka, I.; Zabavskiy, B.; Zhuchok, A.; Varbanets, P. (Algebra and Discrete Mathematics, 2017)
    The great Russian mathematician Igor Rostislavovich Shafarevich died on February 19, 2017. This news grieved the whole mathematical society, since his name was inseparably linked to so many outstanding achievements and ...
  • Jacobsthal-Lucas series and their applications 
    Pratsiovytyi, M.; Karvatsky, D. (Algebra and Discrete Mathematics, 2017)
    In this paper we study the properties of positive series such that its terms are reciprocals of the elements of Jacobsthal-Lucas sequence. In particular, we consider the properties of the set of incomplete sums as well as ...

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