弱幂等环

SINET: Ethiopian Journal of Science Pub Date : 2022-04-27 DOI:10.4314/sinet.v45i1.8

Dereje Wasihun, Tilahun Abebaw, Y. Yitayew, Venkateswarlu Kolluru

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引用次数: 0

摘要

本文引入弱幂等环的概念，作为布尔类环的推广。得到了弱幂等环类的许多形式性质，并给出了弱幂等环类的若干例子。进一步得到了弱幂等环的完全素理想和左右完全初等理想的性质。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Weak idempotent rings

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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SINET: Ethiopian Journal of Science

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