Theorem 6.3 Let p be a homomorphism from S; to T;. If p is onto, then the following results hold ()If x is Associative on S, then is also Associative on a (2)If x is commutative on S, then is also commutation on T 3)If there exist identity element e in S; l, then cp(e)is identity element of T (4)Let e be identity element of [s;. If there is the inverse element al of dES, then op(a-l)is the inverse element (p(a. Theorem 6.3 Let  be a homomorphism from [S;*] to [T;•]. If  is onto, then the following results hold.  (1)If * is Associative on S, then • is also Associative on T.  (2)If * is commutative on S, then • is also commutation on T  (3)If there exist identity element e in [S;*],then (e) is identity element of [T;•]  (4) Let e be identity element of [S;*]. If there is the inverse element a -1 of aS, then (a -1 ) is the inverse element (a)