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Divam Kumar posted an Question
December 03, 2020 • 20:13 pm 30 points
  • IIT JAM
  • Mathematics (MA)

75 choose the correct statement: (a) every finite commutative ring without zero divisor is a ficld. (b) every finite integral domain is a field. (c) both (a) an

75 Choose the correct statement: (A) Every finite commutative ring without zero divisor is a ficld. (B) Every finite integral domain is a field. (C) Both (A) and (B) (D) None of these 76. A non-empty subset S of a ring R is said to be a left ideal of R if S is a subring of Rwith addition and : (A) sr e SVr e R,Vs eS (B) rs e SVr e R,Vs eS (C) Both (A) and (B) (D) None of these 77. An indexed set of vectors (,Vas -. in R is said to be.if the vector equation 1Vt x2V2 t+XpVp = 0 has only the trivial solution. (B) basis (A) linearly independent (D) None of these (C) linearly dependent 78. If a vector space V has a basis having n vectors, then every basis must consist off exactly Vectors. (B) n (A) nt1 (D) None of these (C) n-1

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