Z × 3Z = ?
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Your required answer :
- Z × 3Z = ?
- 3Z²
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Answer:Let's take Z/3Z to make the question shorter. The quotient group has three elements: (...,0,3,6...),(,1,4,7...),(,2,5,8...) Each element is an infinite set of integers, specifically, the integers divisable by 3 plus an offset that is 0,1, or 2.
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