Mathematics · Ring Theory
If &mathbb{Z}3[i] = {a + ib : a, b ∈ &mathbb{Z}3}, then which of the following options correctly represents all the elements of this ring?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1{0, 1, 2, -i, -2i, 1+i, 1-i, 1+2i, 1-2i}
- 2{0, 1, 2, i, 2i, 1+i, 2+i, 1+2i, 2+2i}✓
- 3{0, 1, 2, -i, -2i, 1+i, 1+i, 1+2i, 1+2i}
- 4{0, 1, 2, i, 2i, 1+i, 1-i, 1+2i, 1-2i}
Correct answer
{0, 1, 2, i, 2i, 1+i, 2+i, 1+2i, 2+2i}
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