Journal of Engineering and Applied Sciences

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A Closed U-BG-Filter and Completely Closed U-BG-Filter of a U-BG-BH-Algebra

Husein Hadi Abbass and Alaa Abdulla Hamza
Page: 1062-1069 | Received 21 Sep 2022, Published online: 21 Sep 2022

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Abstract

In this study, we introduce the notion of closed U-BG-filter and completely closed U-BG-filter in U-BG-BH-algebra and observed that every closed and completely closed filter of a U-BG-BH-algebra is a closed and completely closed U-BG-filter. A necessary and sufficient condition is derived for every closed and completely closed U-BG-filter of U-BG-BH-algebra to become a closed or completely closed filter. Some properties of closed and completely closed U-BG-filter are studied with respect to homomorphism, Cartesian products and quotient U-BG-BH-algebra.

How to cite this article:

Husein Hadi Abbass and Alaa Abdulla Hamza. A Closed U-BG-Filter and Completely Closed U-BG-Filter of a U-BG-BH-Algebra.
DOI: https://doi.org/10.36478/jeasci.2019.1062.1069
URL: https://www.makhillpublications.co/view-article/1816-949x/jeasci.2019.1062.1069