Is Q closed under inverses?

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asked Sep 8, 2021 187k views

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Is Q closed under inverses?

Mathematics
college

Mynk asked

by Mynk

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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.

Leylekseven answered Sep 12, 2021

by Leylekseven

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