Browsing by Author "Bondarenko, Vitalij M."

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  • 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
  • On dispersing representations of quivers and their connection with representations of bundles of semichains 
    Bondarenko, Vitalij M. (Луганский национальный университет им. Т. Шевченко, 29-09-23)
  • On posets of width two with positive Tits form 
    Bondarenko, Vitalij M.; Styopochkina, Marina V. (Луганский национальный университет им. Т. Шевченко, 2005)
    We give a complete description of the finite posets of width two with the Tits form to be positive. This problem arises in studying the categories of representations of posets of finite type.
  • On representation type of a pair of posets with involution 
    Bondarenko, Vitalij M. (Луганский национальный университет им. Т. Шевченко, 2004)
    In this paper we consider the problem on classifying the representations of a pair of posets with involution. We prove that if one of these is a chain of length at least 4 with trivial involution and the other is with ...
  • On wildness of idempotent generated algebras associated with extended Dynkin diagrams 
    Bondarenko, Vitalij M. (Луганский национальный университет им. Т. Шевченко, 2004)
    Let denote an extended Dynkin diagram with vertex set 0 = {0, 1, . . . , n}. For a vertex i, denote by S(i) the set of vertices j such that there is an edge joining i and j; one assumes the diagram has a unique vertex ...