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MMLU / For which of the following rings is it possible for the product of two nonzero…

Problem

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question

For which of the following rings is it possible for the product of two nonzero elements to be zero?

choices

  1. The ring of complex numbers
  2. The ring of integers modulo 11
  3. The ring of continuous real-valued functions on [0, 1]
  4. The ring {a + b * sqrt(2) : a and b are rational numbers}

subject

college_mathematics

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Source and history

Official source

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