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Перегляд Algebra and Discrete Mathematics, 2009, № 2 за назвою

Репозиторій DSpace/Manakin

Перегляд Algebra and Discrete Mathematics, 2009, № 2 за назвою

Сортувати за: Порядок: Результатів:

  • Factorization of matrices over elementary divisor domain 
    Shchedryk, V. (Algebra and Discrete Mathematics, 2009)
    We propose constructive criteria of divisibility and associativity of matrices over commutative elementary divisor ring without zero divisors. On this base, the explicit form for all non-associated divisors which have ...
  • Finding proper factorizations in finite groups 
    Kirtland, J. (Algebra and Discrete Mathematics, 2009)
    One focus in group theory has been to establish the properties of a finite group that can be written as the product of two proper subgroups whose properties are known. The investigation here will proceed in the other ...
  • Frattini theory for N-Lie algebras 
    Michael Peretzian Williams (Algebra and Discrete Mathematics, 2009)
    We develop a Frattini Theory for n-Lie algebras by extending theorems of Barnes' to the n-Lie algebra setting. Specifically, we show some sufficient conditions for the Frattini subalgebra to be an ideal and find an example ...
  • On Galois groups of prime degree polynomials with complex roots 
    Oz Ben-Shimol (Algebra and Discrete Mathematics, 2009)
    Let f be an irreducible polynomial of prime degree p≥5 over Q, with precisely k pairs of complex roots. Using a result of Jens Hochsmann (1999), show that if p≥4k+1 then Gal(f/Q) is isomorphic to Ap or Sp. This improves ...
  • On some generalization of metahamiltonian groups 
    Semko, N.N.; Yarovaya, O.A. (Algebra and Discrete Mathematics, 2009)
    Locally step groups at which all subgroups are or normal, or have Chernikov’s derived subgroup are studied.
  • On the quasi-primary decomposition of HK-torsion theories 
    Komarnytskyi, M.; Melnyk, I. (Algebra and Discrete Mathematics, 2009)
    The paper is devoted to the study of quasi-primary decompositions of torsion theories in the rings which derivatives. It is shown that every HK-torsion theory of the differential noetherian completely bounded ring it is ...
  • On verbal subgroups of finitely generated nilpotent groups 
    Bier, A. (Algebra and Discrete Mathematics, 2009)
    The paper concerns the problem of characterization of verbal subgroups in finitely generated nilpotent groups. We introduce the notion of verbal poverty and show that every verbally poor finitely generated nilpotent group ...

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