Zero is not the inverse of the multiplication of any number
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Examples and counterexamples
In the real numbers, zero does not have a reciprocal because no real number multiplied by 0 produces 1 (the product of any number with zero is zero). ... For example, the inverse of 3 modulo 11 is 4 because 4 · 3 ≡ 1 (mod 11).
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zero is not the inverse of the multiplication of any number.
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