A non-empty set X with a binary operation “*” and a constant 0 is called BF-algebra if satisfies x*x=0;x*(x*y)=y; 0*(x*y)=y*x, for all x,y∈X. at this paper studies some structures of subalgebra and normal subalgebras of a BF -algebra and some for homomorphism of BF-algebra.

Keyword: BF-algebra, homomorphism, subalgebra, normal subalgebra.

 A non-empty set X with a binary operation “*” and a constant 0 is called BF-algebra if satisfies x*x=0;x*(x*y)=y; 0*(x*y)=y*x, for all x,y∈X. at this paper studies some structures of subalgebra and normal subalgebras of a BF -algebra and some for homomorphism of BF-algebra.

Keyword: BF-algebra, homomorphism, subalgebra, normal subalgebra.