A criterion of elementary divisor domain for distributive domains

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.

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Bibliographic Details
Published in:Algebra and Discrete Mathematics
Date:2017
Main Authors: Bokhonko, V., Zabavsky, B.V.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2017
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/155960
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:A criterion of elementary divisor domain for distributive domains / V. Bokhonko, B.V. Zabavsky // Algebra and Discrete Mathematics. — 2017. — Vol. 23, № 1. — С. 1-6. — Бібліогр.: 5 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine