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Weak idempotent rings
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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.
African Journals Online (AJOL)
Title: Weak idempotent rings
Description:
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.
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