Browsing 2004 by Issue Date

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  • A note to my paper “Multi-algebras from the viewpoint of algebraic logic” 
    Cırulis, Janis (Луганский национальный университет им. Т. Шевченко, 2003)
    The definition of a resolvent, introduced in the paper mentioned in the title, is simplified, and some misprints in that paper are corrected.
  • Root vectors of the composition algebra of the Kronecker algebra 
    Chen, Xueqing (Луганский национальный университет им. Т. Шевченко, 2003-10-06)
  • Minimax sums of posets and the quadratic Tits form 
    Bondarenko, Vitalij M.; Polishchuk, Andrej M. (Луганский национальный университет им. Т. Шевченко, 2003-11-18)
    Dedicated Michael Ringel on the occasion of his sixtieth birthday
  • Conic bundles over real formal power series field 
    Bazyleu, Dzmitry F.; Tikhonov, Sergey V.; Yanchevski, Vyacheslav I. (Луганский национальный университет им. Т. Шевченко, 2003-11-28)
  • Subsets of defect 3 in elementary Abelian 2-groups 
    Novikov, B. V.; Polyakova, L. Yu. (Луганский национальный университет им. Т. Шевченко, 2004)
  • Dimensions of finite type for representations of partially ordered sets 
    Drozd, Yuriy A.; Kubichka, Eugene A. (Луганский национальный университет им. Т. Шевченко, 2004)
    We consider the dimensions of finite type of rep- resentations of a partially ordered set, i.e. such that there is only finitely many isomorphism classes of representations of this dimen- sion. We give a criterion for ...
  • Derived tame and derived wild algebras 
    Drozd, Yuriy A. (Луганский национальный университет им. Т. Шевченко, 2004)
  • Some applications of Hasse principle for pseudoglobal fields 
    Andriychuk, V. (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 ...
  • Categories of lattices, and their global structure in terms of almost split sequences 
    Rump, Wolfgang (Луганский национальный университет им. Т. Шевченко, 2004)
    A major part of Iyama’s characterization of Auslander-Reiten quivers of representation-finite orders consists of an induction via rejective subcategories of ¤-lattices, which amounts to a resolution of ¤ as an isolated ...
  • 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 lattices, modules and groups with many uniform elements 
    Krempa, Jan (Луганский национальный университет им. Т. Шевченко, 2004)
  • Green’s relations on the deformed transformation semigroups 
    Tsyaputa, G. Y. (Луганский национальный университет им. Т. Шевченко, 2004)
  • 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 ...
  • Unitarizable and non-unitarizable represenations of algebras generated by idempotents 
    Popovych, Stanislav; Turowska, Lyudmila (Луганский национальный университет им. Т. Шевченко, 2004)
    The problem of unitarization of representations of algebras generated by idempotents with linear relations is studied. Construction of non-unitarizable representations for some subintervals of continuous spectrum is ...
  • 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.
  • Representations of linear groups over e A2-algebras 
    Timoshin, Anatoliy S. (Луганский национальный университет им. Т. Шевченко, 2004)
    In the space of irreducible unitary representations of a linear group over an algebra of type e A2 an open dense subset of representations in the general position is singled out. This set is identified, up to simple ...

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