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Divam Kumar posted an Question
December 03, 2020 • 20:10 pm
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30 points
30 points
- IIT JAM
- Mathematics (MA)
51. number of maximal ideals of z36 is (a) 3 (b) 2 c) 4 (d) none of these 52. let r be a commutative ring with unity and let a be an ideal of r. ' then cho0se t
51. Number of maximal ideals of Z36 is (A) 3 (B) 2 C) 4 (D) None of these 52. Let R be a commutative ring with unity and let A be an ideal of R. ' Then cho0se the correct statement: (A) R/A is an integral domain iff A is prime. (B) R/A is an integral domain iff A is maximal. (C) R/A is a field iff A is prime. (D) None of these 33. Let R be a ring with unity such that the only left ideals of R are (0) and R. Then R 1s a: (A) field (B) division ring (C)principal ideal domain (D) None of these 54. Let R be a commutative ring with unity. Then choose the correct statement: (A) Every maximal ideal is a prime ideal. (B) Every prime ideal is a maximal ideal. (C) Both (A) and (B) (D) None of these 55. The characteristic of an integral domain is either (A) 0 or 1 (B) 0 or prime (C) 1 or prime (D) None of these XE(H-3)-MAT(6) (12)
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