This nal project discusses the properties of BP-algebra and its relation to BP- algebra with BF-algebra, BH-algebra, and B-algebra 0 commutative. Their relationship is proven by showing that the properties of BP-algebra, BF-algebra, BH-algebra, and B-algebra 0 commutative are interrelated. If (X; ∗; 0) BP- algebra with (x∗y)∗z = x∗(z∗y) and then (X; ∗; 0) is B-algebra and if (X…