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Перегляд Algebra and Discrete Mathematics, 2008, № 2 за назвою

Репозиторій DSpace/Manakin

Перегляд Algebra and Discrete Mathematics, 2008, № 2 за назвою

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 ...
  • 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 ...
  • 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 ...
  • Emmanuil Moiseevich Zhmud’ (1918-2007) 
    Favorov, S.; Novikov, B.; Vyshnevetskiy, A.; Zholtkevich, G. (Algebra and Discrete Mathematics, 2008)
  • 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 ...
  • 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 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 ...
  • 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 ...
  • 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 ...
  • 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.

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