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
Date:2017
Main Authors: Bokhonko, Vasylyna, Zabavsky, Bohdan Volodymyrovych
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2017
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/58
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Journal Title:Algebra and Discrete Mathematics

Institution

Algebra and Discrete Mathematics