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  • Subsets of defect 3 in elementary Abelian 2-groups 
    Novikov, B. V.; Polyakova, L. Yu. (Луганский национальный университет им. Т. Шевченко, 2004)
  • Basic semigroups: theory and applications 
    Ponizovskii, J. S. (Луганский национальный университет им. Т. Шевченко, 2004)
    A concept of basic matrix semigroups over fields (with some variations) is introduced and throughly investigated. Sections 1 and 2 contain main definitions, Section 3 treats some properties of basic semigroups, Section 4 ...
  • Correct classes of modules 
    Wisbauer, Robert (Луганский национальный университет им. Т. Шевченко, 2004)
    For a ring R, call a class C of R-modules (pure-) mono-correct if for any M,N ∈ C the existence of (pure) monomorphisms M → N and N → M implies M ≃ N. Extending results and ideas of Rososhek from rings to modules, it is ...
  • On intersections of normal subgroups in groups 
    Kulikova, O. V. (Луганский национальный университет им. Т. Шевченко, 2004)
    The paper is a generalization of. For a group H = hA|Oi, conditions for the equality N1 ∩ N2 = [N1, N2] are given in terms of pictures, where Ni is the normal closure of a set R i ⊂ H for i = 1, 2.
  • Finite groups with a system of generalized central elements 
    Shemetkova, Olga (Луганский национальный университет им. Т. Шевченко, 2004)
    Let H be a normal subgroup of a finite group G. A number of authors have investigated the structure of G under the assumption that all minimal or maximal subgroups in Sylow subgroups of H are well-situated in G. A general ...
  • On simple groups of large exponents 
    Sonkin, Dmitriy (Луганский национальный университет им. Т. Шевченко, 2004)
    It is shown that the set of pairwise non-isomorphic 2-generated simple groups of exponent n (n ≥ 248 and n is odd or divisible by 29) is of cardinality continuum. As a corollary, for any sufficiently large n the set of ...
  • Partial resolutions in monoid cohomology 
    Grillet, P. A. (Луганский национальный университет им. Т. Шевченко, 2004)
    Partial resolutions are constructed for the Eilenberg-MacLane cohomology of monoids, with applications to examples.
  • On intersections of normal subgroups in groups 
    Kulikova, O. V. (2004)
    The paper is a generalization of . For a group H = hA|Oi, conditions for the equality N1 ∩ N2 = [ N1, N2] are given in terms of pictures, where ¯Ni is the normal closure of a set Ri ⊂ H for i = 1, 2.
  • Clones of full terms 
    Denecke, Klaus; Jampachon, Prakit (Луганский национальный университет им. Т. Шевченко, 2004)
    In this paper the well-known connection between hyperidentities of an algebra and identities satisfied by the clone of this algebra is studied in a restricted setting, that of n-ary full hyperidentities and identities of ...

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