B-algebra constructed from a noncommutative group. So that, we find the concept of B-algebra by the properties of the group. If there is a subgroup in the group, hence there is B-subalgebra in the B-algebra. In this thesis, we constructed the concept of prime ideals in B-algebras.This thesis using method of construct prime ideals in BC I and BC K -algebras by Borzooei and Zahiri. The resul…