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Sticky Note
Which of these sets is an ideal in the ring of integers?
  1. The even numbers
  2. The odd numbers
  3. The negative numbers
  4. None of these
Explanation
  • An ideal in the ring of integers ℤ must be closed under addition and multiplication by any integer.
  • The set of even numbers forms an ideal since the sum and product of any even numbers remain even.

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