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

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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 ...

Now showing items 11-12 of 12

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