ABSTRACT This final project discusses the properties of BV -algebras, the relationship between BV -algebras with B-algebras, BF-algebras, and Coxeter-algebras, the relationship are proven through the properties possessed by BV -algebras with B-algebras, BF-algebras, BM-algebras, and Coxeter algebras are interrelated. Then, by using ideal properties of other algebras, the ideal properties o…