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Singularities of the structure of two-sided ideals of a domain of elementary divisors

We prove that, in a domain of elementary divisors, the intersection of all nontrivial two-sided ideals is equal to zero. We also show that a Bézout domain with finitely many two-sided ideals is a domain of elementary divisors if and only if it is a 2-simple Bézout domain.

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Bibliographic Details
Date:	2010
Main Authors:	Bilyavs’ka, S. I., Zabavskii, B. V., Білявська, С. І., Забавський, Б. В.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 2010
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/2916
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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