Browsing 2004 by Title

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  • 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.
  • 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 ...
  • Savchuk, Yuri (Луганский национальный университет им. Т. Шевченко, 2004)
    We describe the C -algebra generated by four orthogonal projections p1, p2, p3, p4, satisfying the linear relation p1 + p2 + p3 + p4 = 2I. The simplest realization by 2 × 2-matrixfunctions over the sphere S2 is given.
  • 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 ...
  • 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 ...
  • Bazyleu, Dzmitry F.; Tikhonov, Sergey V.; Yanchevski, Vyacheslav I. (Луганский национальный университет им. Т. Шевченко, 2003-11-28)
  • 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 ...
  • Drozd, Yuriy A. (Луганский национальный университет им. Т. Шевченко, 2004)
  • Vlasenko, Masha (Луганский национальный университет им. Т. Шевченко, 2004)
  • Artemovych, O. D. (Луганский национальный университет им. Т. Шевченко, 2004-04-08)
  • 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 ...
  • Ahmad Alsheik Ahmad (Луганский национальный университет им. Т. Шевченко, 2004)
  • 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 ...
  • Petrychkovych, Vasyl‘ M. (Луганский национальный университет им. Т. Шевченко, 2004)
    The collections (A1, ...,Ak) and (B1, ...,Bk) of matrices over an adequate ring are called generalized equivalent if Ai = UBiVi for some invertible matrices U and Vi, i = 1, ..., k. Some conditions are established under ...
  • Tsyaputa, G. Y. (Луганский национальный университет им. Т. Шевченко, 2004)
  • Semko, M. M.; Kuchmenko, S. M. (Луганский национальный университет им. Т. Шевченко, 2004)
    A subgroup H of a group G is said to be nearly normal, if H has a finite index in its normal closure. These sub- groups have been introduced by B.H. Neumann. In a present paper is studied the groups whose non polycyclic ...
  • Mellit, Anton (Луганский национальный университет им. Т. Шевченко, 2004)
    We consider the algebras ei (Q)ei, where (Q) is the deformed preprojective algebra of weight and i is some vertex of Q, in the case where Q is an extended Dynkin diagram and lies on the hyperplane orthogonal to the ...
  • 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
  • Shestakov, Ivan; Zhukavets, Natalia (Луганский национальный университет им. Т. Шевченко, 2004)
  • Marini, Alberto; Shcherbacov, Victor (Луганский национальный университет им. Т. Шевченко, 2004)
    In this article we study structure of autotopies, automorphisms, autotopy groups and automorphism groups of n- ary linear quasigroups. We find a connection between automorphism groups of some special kinds of n-ary ...

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