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Published:
Apr 27, 2022Keywords:
Weak idempotent ring; completely prime ideal; one sided primary ideal; local ring
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Research articles
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Weak idempotent rings
Abstract
In this paper is to introduce the notion of weak idempotent rings as a generalization of Boolean like rings. We obtain many formal properties of the class of weak idempotent rings and furnish certain examples of the class of weak idempotent rings. Furthermore, we obtain the properties of completely prime ideal and left and right completely primary ideals of weak idempotent rings.
