Group Theory

Doe

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Joined
Nov 21, 2020
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1
Hello everyone i am new here and have i little problem xD
So the problem is:

Find an example of an infinity grupoid \(\displaystyle (G, *) \) whose every real subgrupoid \(\displaystyle (H, *) \) is:
a) infinit
b) finite

I thought in context of natural numbers, real numbers, set of all prime numbers with many different operations defined on it, but i still have no idea how to construct such structure... Thanks in advance.
 
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