christian0994 christian0994
  • 05-09-2020
  • Mathematics
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Is Q closed under inverses?

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Umermir
Umermir Umermir
  • 05-09-2020

Answer:

The identity element of Q is 0, and 0 ∈ Z. Finally, if n ∈ Z, its additive inverse in Q is −n. But −n is also an integer, so Z is closed under taking inverses. Therefore,Z is a subgroup of Q.

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