Перегляд за автором "Styopochkina, M.V."

Сортувати за: Порядок: Результатів:

  • On classifying the non-Tits P-critical posets 
    Bondarenko, V.M.; Styopochkina, M.V. (Algebra and Discrete Mathematics, 2021)
    In 2005, the authors described all introduced by them P-critical posets (minimal finite posets with the quadratic Tits form not being positive); up to isomorphism, their number is 132 (75 if duality is considered). Later ...
  • On finite posets of injinj-finite type and their Tits forms 
    Bondarenko, V.M.; Styopochkina, M.V. (Algebra and Discrete Mathematics, 2006)
    We prove one theorem on connection between inj-finiteness of a finite poset and positive definiteness of its Tits form.
  • On posets of width two with positive Tits form 
    Bondarenko, V.M.; Styopochkina, M.V. (Algebra and Discrete Mathematics, 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.
  • The classification of serial posets with the non-negative quadratic Tits form being principal 
    Bondarenko, V.M.; Styopochkina, M.V. (Algebra and Discrete Mathematics, 2019)
    Using (introduced by the first author) the method of (min, max)-equivalence, we classify all serial principal posets, i.e. the posets S satisfying the following conditions: (1) the quadratic Tits form qS(z) : Zˢ⁺¹ → Z of ...