Answer to Question #47350 in Abstract Algebra for ayush kumar

Question

Which of the following statements are true ? Give 10
reasons for your answer.

(a) Subring of a UFD must be a UFD.

(b) If K is a normal subgroup of H and H is a normal subgroup of G, then K is a normal subgroup of G.

(c) The field of quotients of Z + Z is R.

(d) {Z, Q, IGNOU} is a set.

(e) Any subset of a ring (R, ®) is a ring with respect to the operations of 0 and C!).