Перегляд за автором "Artemovych, O.D."

Сортувати за: Порядок: Результатів:

  • Differentially trivial and rigid right semi-artinian rings 
    Artemovych, O.D. (Algebra and Discrete Mathematics, 2004)
    We obtain a characterization of right semi-artinian rings which have only trivial derivations and prove that a rigid (i.e. has only the trivial ring endomorphisms) right semi-artinian ring R is a field or isomorphic to ...
  • Groups associated with modules over nearrings 
    Artemovych, O.D.; Kravets, I.V. (Algebra and Discrete Mathematics, 2007)
    We construct a group D(I, T) associated with the pair (I, T), where I is a nontrivial distributive submodule of a left N-module G, T is a nontrivial subgroup of the unit group U(N) of a right nearring N with an identity ...
  • Lie and Jordan structures of differentially semiprime rings 
    Artemovych, O.D.; Lukashenko, M.P. (Algebra and Discrete Mathematics, 2015)
    Properties of Lie and Jordan rings (denoted respectively by RL and RJ) associated with an associative ring R are discussed. Results on connections between the differentially simplicity (respectively primeness, semiprimeness) ...
  • Minimal non-PC-groups 
    Artemovych, O.D. (Algebra and Discrete Mathematics, 2014)
    The purpose of this paper is to prove that a non-perfect group G is a minimal non-PC-group if and only if it is a minimal non-FC-group. It is shown that a perfect locally graded minimal non-PC-group is an indecomposable ...
  • On subgroups of finite exponent in groups 
    Artemovych, O.D. (Algebra and Discrete Mathematics, 2015)
    We investigate properties of groups with subgroups of finite exponent and prove that a non-perfect group G of infinite exponent with all proper subgroups of finite exponent has the following properties: (1) G is an ...
  • On the Lie ring of derivations of a semiprime ring 
    Artemovych, O.D.; Kular, K. (Algebra and Discrete Mathematics, 2014)
    We prove that the Lie ring of derivations of a semiprime ring is either trivial or non-nilpotent.