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Перегляд Algebra and Discrete Mathematics, 2010, Vol. 09, № 1 за датою випуску

Репозиторій DSpace/Manakin

Перегляд Algebra and Discrete Mathematics, 2010, Vol. 09, № 1 за датою випуску

Сортувати за: Порядок: Результатів:

  • Lattices of classes of groupoids with one-sided quasigroup conditions 
    Galuszka, J. (Algebra and Discrete Mathematics, 2010)
    It is shown that two classes of groupoids satisfying certain one-sided quasigroup conditions, namely the classes of one-sided torsion groupoids and of one-sided finite exponent groupoids, are complete lattices, both ...
  • A generalization of groups with many almost normal subgroups 
    Russo, F.G. (Algebra and Discrete Mathematics, 2010)
    A subgroup H of a group G is called almost normal in G if it has finitely many conjugates in G. A classic result of B. H. Neumann informs us that |G:Z(G)| is finite if and only if each H is almost normal in G. Starting ...
  • Length functions for semigroup embeddings 
    Davis, T.C. (Algebra and Discrete Mathematics, 2010)
    Following the work done in [O] for groups, we describe, for a given semigroup S, which functions l:S→N can be realized up to equivalence as length functions g↦|g|H by embedding S into a finitely generated semigroup H. We ...
  • Free commutative dimonoids 
    Zhuchok, A.V. (Algebra and Discrete Mathematics, 2010)
    We construct a free commutative dimonoid and characterize the least idempotent congruence on this dimonoid.
  • Small non-associative division algebras up to isotopy 
    Schwarz, T. (Algebra and Discrete Mathematics, 2010)
    We classify small, non-associative division algebras up to isotopy. We reduce the classification problem to an involved case distinction that a computer program can solve. As a result, we classify algebras with 4, 8, 16, ...
  • On commutative nilalgebras of low dimension 
    Gutierrez Fernandez, J.C. (Algebra and Discrete Mathematics, 2010)
    We prove that every commutative non-associative nilalgebra of dimension ≤7, over a field of characteristic zero or sufficiently large is solvable.
  • Finite groups as groups of automata with no cycles with exit 
    Russyev, A. (Algebra and Discrete Mathematics, 2010)
    Representations of finite groups as automata groups over a binary alphabet are investigated. The subclass of groups of automata with no cycles with exit is studied.
  • Hall operators on the set of formations of finite groups 
    Mekhovich, A.P.; Vorob’ev, N.N.; Vorob’ev, N.T. (Algebra and Discrete Mathematics, 2010)
    Let π be a nonempty set of primes and let F be a saturated formation of all finite soluble π-groups. It is constructed the saturated formation consisting of all finite π-soluble groups whose F-projectors contain a Hall ...
  • On some developments in investigation of groups with prescribed properties of generalized normal subgroups 
    Kirichenko, V.V.; Kurdachenko, L.A. (Algebra and Discrete Mathematics, 2010)
    The survey is dedicated to investigation of groups with prescribed properties of generalized normal subgroups. The roots of such investigations lie in the works by R. Dedekind, R. Baer, O.Yu.Schmidt, and S.N. Chernikov. ...

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