Divam kumar Asked a Question
December 3, 2020 2:37 pmpts 30 pts
41. Let G be group. Then for all a e G choose the correct statement (A) Gis Abelian map a ais an automorphism (6) map a >a is an automorphism G is Abelian (C) Both (A) and (B) (D) None of these 42 LetR be a communtative ring with unity and M be an ideal of R. Then whicho is correct ? (A) M is a maximal ideal R/M is a field. (B) R/M is a field M is a maximal ideal. (C) Both (A) and (B) (D) None'of these 43. A commutative ring with unity is a field if it has : (A) only proper ideals (B) no proper ideals (C) ideals (D) None of these 44. The elements of S3 are (1), (12), (13), (23), (123), (132). Then the normaliz (12) is: (A) {(12) (B) {(). (12)} (C) {(1), (123)) (D) None of these 45. Which statement is not correct? (A) A group of order 15 is always Abelian. (B) A group of order 9 is always non-Abelian. (C) A group of order 4 is always Abelian. D) None of these
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