Clear rings and clear elements

An element of a ring $R$ is called clear if it is a sum of a unit-regular element and a unit. An associative ring is clear if each of its elements is clear. In this paper we defined clear rings and extended many results to a wider class. Finally, we proved that a commutative Bezout domain is an elem...

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Bibliographic Details
Main Authors: B. V. Zabavsky, O. V. Domsha, O. M. Romaniv
Format: Article
Language:deu
Published: Ivan Franko National University of Lviv 2021-03-01
Series:Математичні Студії
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Online Access:http://matstud.org.ua/ojs/index.php/matstud/article/view/126
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