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Browsing Algebra and Discrete Mathematics. - № 1 (26). - 2018 by Title

Browsing Algebra and Discrete Mathematics. - № 1 (26). - 2018 by Title

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  • Quasi-valuation maps based on positive implicative ideals in BCK-algebras 
    Jun, Y. B.; Lee, K. J.; Song, S. Z. (ДЗ "ЛНУ імені Тараса Шевченка", 2018)
    The notion of PI-quasi-valuation maps of a BCK-algebra is introduced, and related properties are investigated.The relationship between an I-quasi-valuation map and a PI-quasivaluation map is examined. Conditions for an ...
  • Type conditions of stable range for identification of qualitative generalized classes of rings 
    Zabavsky, B. (ДЗ "Луганський національний університет імені Тараса Шевченка", 2018)
    This article deals mostly with the following question: when the classical ring of quotients of a commutative ring is a ring of stable range 1? We introduce the concepts of a ring of (von Neumann) regular range 1, a ring ...
  • Unimodality polynomials and generalized Pascal triangles 
    Ahmia, M.; Belbachir, H. (ДЗ "ЛНУ імені Тараса Шевченка", 2018)
    In this paper, we show that if P(x) = Pm k=0 akx k is a polynomial with nondecreasing, nonnegative coefficients, then the coefficients sequence of P(x s + · · · + x + 1) is unimodal for each integer s > 1. This ...

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