ABSTRACT This nal project discusses the properties of BN -algebra, the relationship BN - algebra with B -algebra, BF -algebra and Coxeter algebra. These properties are proved by using the binary operations contained in the group. This nal project is a review of article of Kim dan Kim [Kyungpook Mathematical Journal, 53 (2013), 175-184]. Keywords: BN-algebra, B-algebra, BF-algebra, Coxet…