Divam Kumar posted an Question
December 03, 2020 • 20:53 pm 30 points
  • IIT JAM
  • Mathematics (MA)

61. choose the correct statement (a) every integral domain can be imbedded in a lield. 5) any ring r without unity can be imbedded in a ring with unity. (c) bot

61. Choose the correct statement (A) Every integral domain can be imbedded in a lield. 5) Any ring R without unity can be imbedded in a ring with unity. (C) Both (A) and (B)) (D) None of these 62 Let F be any field g (x) e F] and a e F. Then choose the correct statement (A) x -a divides g (x) g (a) = 0 (B) g(a) = 0 >x- a divides g () (C) Both (A) and (B) (D) None of these 63. Let R be a commutative ring with unity and a, b two non-zero elements of R, then (a) = (b) iff: (A) al b (B) b|a (C) Both (A) and (B) (D) None of these 64. Which one is a monic polynomial? (B) 3x + 2x +5 (A) 2x2 +1 (D) None of these (C) 2x +1 (14) YF(H-31-MAT(6)

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