#### Camila Inethe

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é um subgrupo cíclico do grupo aditivo Q.

- Thread starter Camila Inethe
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é um subgrupo cíclico do grupo aditivo Q.

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Please include a translation (english) so that maximum number of tutors can assist you.

é um subgrupo cíclico do grupo aditivo Q.

Please show us what you have tried and

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Please share your work/thoughts about this problem.

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Google says that this means

é um subgrupo cíclico do grupo aditivo Q.

12. Let r be the elements of Q. Demonstrate that the collection given by {mr + ns | m, n ∈ Z} is a cyclic subgroup of the additive group Q.

It seems to have lost "s", so I suppose it's really

12. Let r, s be elements of Q. Demonstrate that the collection given by {mr + ns | m, n ∈ Z} is a cyclic subgroup of the additive group Q.

Now we need to know what help you need. Please show whatever you can do, starting with statements of the definitions needed, notably "cyclic subgroup". Can you show that this set is a subgroup? Can you find a generator for it?

If you have specific questions about the problem, please ask them.