Наукова електронна бібліотека
періодичних видань НАН України

Перегляд Algebra and Discrete Mathematics, 2008, Vol. 7 за датою випуску

Репозиторій DSpace/Manakin

Перегляд Algebra and Discrete Mathematics, 2008, Vol. 7 за датою випуску

Сортувати за: Порядок: Результатів:

  • Baer semisimple modules and Baer rings 
    Xiaojiang Guo; Shum, K.P. (Algebra and Discrete Mathematics, 2008)
    We consider Baer rings and Baer semisimple R-modules which are generalizations of semisimple modules. Several characterization theorems of Baer semisimple modules are obtained. In particular, we prove that a ring R is a ...
  • On well p-embedded subgroups of finite groups 
    Hutsko, N.V.; Skiba, A.N. (Algebra and Discrete Mathematics, 2008)
    Let G be a finite group, H a subgroup of G and HsG the subgroup of H genarated by all those subgroups of H which are s-permutable in G. Then we say that H is well p-embedded in G if G has a quasinormal subgroup T such ...
  • On classification of groups generated by 3-state automata over a 2-letter alphabet 
    Bondarenko, I.; Grigorchuk, R.; Kravchenko, R.; Muntyan, Y.; Nekrashevych, V.; Savchuk, D.; Sunic, Z. (Algebra and Discrete Mathematics, 2008)
    We show that the class of groups generated by 3-state automata over a 2-letter alphabet has no more than 122 members. For each group in the class we provide some basic information, such as short relators, a few initial ...
  • Planar trees, free nonassociative algebras, invariants, and elliptic integrals 
    Drensky, V.; Holtkamp, R. (Algebra and Discrete Mathematics, 2008)
    We consider absolutely free algebras with (maybe infinitely) many multilinear operations. Such multioperator algebras were introduced by Kurosh in 1960. Multioperator algebras satisfy the Nielsen-Schreier property and ...
  • Characterization of Chebyshev Numbers 
    Jacobs, D.P.; Trevisan, V.; Rayers, M.O. (Algebra and Discrete Mathematics, 2008)
    Let Tn(x) be the degree-n Chebyshev polynomial of the first kind. It is known [1,13] that Tp(x)≡xpmodp, when p is an odd prime, and therefore, Tp(a)≡amodp for all a. Our main result is the characterization of composite ...
  • Exact values of girth for some graphs D(k,q) and upper bounds of the order of cages 
    Pikuta, P. (Algebra and Discrete Mathematics, 2008)
    Let q be a prime power and k∈{5,7,9,11}. In this paper it is shown that the girth of a graph D(k,q) is equal to k+5. As a consequence, explicit examples of graphs which provide the best known upper bounds of the order of ...
  • The free spectra of varieties generated by idempotent semigroups 
    Pluhar, G.; Wood, J. (Algebra and Discrete Mathematics, 2008)
    We give an exact formula for the logarithm of the free spectra of band varieties.
  • Random walks on finite groups converging after finite number of steps 
    Vyshnevetskiy, A.L.; Zhmud, E.M. (Algebra and Discrete Mathematics, 2008)
    Let P be a probability on a finite group G, P(n)=P∗…∗P (n times) be an n-fold convolution of P. If n→∞, then under mild conditions P(n) converges to the uniform probability U(g)=1|G| (g∈G). We study the case when the ...
  • Algebra in superextensions of groups, II: cancelativity and centers 
    Banakh, T.; Gavrylkiv, V. (Algebra and Discrete Mathematics, 2008)
    Given a countable group X we study the algebraic structure of its superextension λ(X). This is a right-topological semigroup consisting of all maximal linked systems on X endowed with the operation A∘B={C⊂X:{x ...
  • The Tits alternative for generalized triangle groups of type (3,4,2) 
    Howie, J.; Williams, G. (Algebra and Discrete Mathematics, 2008)
    A generalized triangle group is a group that can be presented in the form G=⟨x,y |xp=yq=w(x,y)r=1⟩ where p,q,r≥2 and w(x,y) is a cyclically reduced word of length at least 2 in the free product Zp∗Zq=⟨x,y |xp=yq=1⟩. ...
  • Radical functors in the category of modules over different rings 
    Burban, N.; Horbachuk, O. (Algebra and Discrete Mathematics, 2008)
    The category G of all left modules over all rings is studied. Necessary and sufficient conditions for a preradical functor on G to be radical are given. Radical functors on essential subcategories of G are investigated.
  • Idempotent D -cross-sections of the finite inverse symmetric semigroup ISn 
    Pyekhtyeryev, V. (Algebra and Discrete Mathematics, 2008)
    We prove that every finite poset can be embedded in some idempotent D-cross-section of the finite inverse symmetric semigroup ISn.
  • Group action on bimodule categories 
    Drozd, Y.A. (Algebra and Discrete Mathematics, 2008)
    We consider actions of groups on categories and bimodules, the related crossed group categories and bimodules, and prove for them analogues of the result know for representations of crossed group algebras and categories.
  • Balleans of bounded geometry and G-spaces 
    Protasov, I.V. (Algebra and Discrete Mathematics, 2008)
    A ballean (or a coarse structure) is a set endowed with some family of subsets which are called the balls. The properties of the family of balls are postulated in such a way that a ballean can be considered as an asymptotical ...
  • On some locally soluble infinite dimensional linear groups 
    Dashkova, O.Yu. (Algebra and Discrete Mathematics, 2008)
    The author investigates nonabelian locally soluble linear groups of infinite fundamental dimension and of infinite section p-rank all of whose proper nonabelian subgroups of infinite section p-rank are of finite fundamental ...
  • On τ-closed totally saturated group formations with Boolean sublattices 
    Safonov, V.G. (Algebra and Discrete Mathematics, 2008)
    In the universe of finite groups the description of τ-closed totally saturated formations with Boolean sublattices of τ-closed totally saturated subformations is obtained. Thus, we give a solution of Question 4.3.16 proposed ...
  • The generalized dihedral groups Dih(Zn) as groups generated by time-varying automata 
    Woryna, A. (Algebra and Discrete Mathematics, 2008)
    Let Zn be a cubical lattice in the Euclidean space Rn. The generalized dihedral group Dih(Zn) is a topologically discrete group of isometries of Zn generated by translations and reflections in all points from Zn. We ...
  • Discrete limit theorems for Estermann zeta-functions. II 
    Laurincikas, A.; Macaitiene, R. (Algebra and Discrete Mathematics, 2008)
    A discrete limit theorem in the sense of weak convergence of probability measures in the space of meromorphic functions for the Estermann zeta-function with explicitly given the limit measure is proved.
  • On a question of A. N. Skiba about totally saturated formations 
    Safonov, V.G. (Algebra and Discrete Mathematics, 2008)
    It is proved that the lattice of τ-closed totally saturated formations of finite groups is distributive. This is a solution of Question 4.2.15 proposed by A. N. Skiba in his monograph "Algebra of Formations" (1997).
  • Mykola Komarnytskyi 
    Автор відсутній (Algebra and Discrete Mathematics, 2008)

Пошук


Розширений пошук

Перегляд

Мій обліковий запис