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Перегляд Algebra and Discrete Mathematics, 2008, Vol. 7 за назвою

Репозиторій DSpace/Manakin

Перегляд Algebra and Discrete Mathematics, 2008, Vol. 7 за назвою

Сортувати за: Порядок: Результатів:

  • n -ary comodules over n -ary (co)algebras 
    Zekovic, B. (Algebra and Discrete Mathematics, 2008)
    In the paper we study connections between (co)modules over n-ary and binary (co)algebras.
  • 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).
  • 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 ...
  • 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 tame semigroups generated by idempotents with partial null multiplication 
    Bondarenko, V.M.; Tertychna, O.M. (Algebra and Discrete Mathematics, 2008)
    Let I be a finite set without 0 and J a subset in I×I without diagonal elements (i,i). We define S(I,J) to be the semigroup with generators ei, where i∈I∪0, and the following relations: e0=0; e2i=ei for any i∈I; eiej=0 ...
  • 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 ...
  • 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.
  • 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.
  • 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 ...
  • 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⟩. ...

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