Mathematics · Ring Theory
Match the algebraic structures in List-I with their classifications in List-II: List-I (Set) (A) Set of all even integers (B) Set {a + ib : a, b ∈ ℤ} (C) Set of rational numbers (D) Set S = { [0, x; 0, y] : x, y ∈ ℚ } under matrix addition and multiplication List-II (Classification) (I) Field (II) Integral domain (III) Non-commutative ring (IV) Commutative ring
- 1(A) - (IV), (B) - (II), (C) - (I), (D) - (III)✓
- 2(A) - (III), (B) - (I), (C) - (IV), (D) - (II)
- 3(A) - (III), (B) - (II), (C) - (I), (D) - (IV)
- 4(A) - (IV), (B) - (II), (C) - (III), (D) - (I)
Correct answer
(A) - (IV), (B) - (II), (C) - (I), (D) - (III)
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