Перегляд за автором "Khibina, M.A."

Сортувати за: Порядок: Результатів:

  • Exponent matrices and Frobenius rings 
    Dokuchaev, M.A.; Kasyanuk, M.V.; Khibina, M.A.; Kirichenko, V.V. (Algebra and Discrete Mathematics, 2014)
    We give a survey of results connecting the exponent matrices with Frobenius rings. In particular, we prove that for any parmutation σ ∈ Sn there exists a countable set of indecomposable Frobenius semidistributive rings Am ...
  • Tiled orders over discrete valuation rings, finite Markov chains and partially ordered sets. I 
    Chernousova, Zh.T.; Dokuchaev, M.A.; Khibina, M.A.; Kirichenko, V.V.; Miroshnichenko, S.G.; Zhuravlev, V.N. (Algebra and Discrete Mathematics, 2002)
    We prove that the quiver of tiled order over a discrete valuation ring is strongly connected and simply laced. With such quiver we associate a finite ergodic Markov chain. We introduce the notion of the index in A of a ...
  • Tiled orders over discrete valuation rings, finite Markov chains and partially ordered sets. II 
    Chernousova, Zh.T.; Dokuchaev, M.A.; Khibina, M.A.; Kirichenko, V.V.; Miroshnichenko, S.G.; Zhuravlev, V.N. (Algebra and Discrete Mathematics, 2003)
    The main concept of this part of the paper is that of a reduced exponent matrix and its quiver, which is strongly connected and simply laced. We give the description of quivers of reduced Gorenstein exponent matrices ...