Husein Hadi  Abbass, Alaa Abdulla  Hamza, 
    A Closed U-BG-Filter and Completely Closed U-BG-Filter of a U-BG-BH-Algebra,
    Journal of Engineering and Applied Sciences,
    Volume 14,Issue 4,
    2019,
    Pages 1062-1069,
    ISSN 1816-949x,
    jeasci.2019.1062.1069,
    (https://makhillpublications.co/view-article.php?doi=jeasci.2019.1062.1069)
    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.
    Keywords: BH-algebra;U-BG-BH-algebra;filter;U-BG-filter;closed filter;completely closed filter;homomorphism;Cartesian products and quotient U-BG-BH-algebra