Browsing Періодичні видання by Subject "neat ring"

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A criterion of elementary divisor domain for distributive domains

Bokhonko, V.; Zabavsky, B. (ДЗ "ЛНУ імені Тараса Шевченка", 2017)

In this paper we introduce the notion of the neat range one for Bezout duo-domains. We show that a distributive Bezout domain is an elementary divisor domain if and only if it is a duo-domain of neat range one.
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 ...

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