Q6) Give the set -(ZXZ) Q7) What theorem have you verified here? Can you see that after suitable identification ZXZ Z? Z Q8) Is there a new map such that the old map subtraction is a ring homomorphism? Justify. Q9) Will N x N N give a natural map. Why? Q10) Can you find subtraction map(s) which is a vector space homomorphism? Q11) Describe the verified theorem geometrically. Q12) Check whether the map f: ZxZ Z defined by f((a, b)) = ma- nb, m, ne Zare group homomorphisms.