@article{MAKHILLJEAS201914417426, title = {A Closed U-BG-Filter and Completely Closed U-BG-Filter of a U-BG-BH-Algebra}, journal = {Journal of Engineering and Applied Sciences}, volume = {14}, number = {4}, pages = {1062-1069}, year = {2019}, issn = {1816-949x}, doi = {jeasci.2019.1062.1069}, url = {https://makhillpublications.co/view-article.php?issn=1816-949x&doi=jeasci.2019.1062.1069}, author = {Husein Hadi and}, 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}, 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.} }