Hello everyone i am new here and have i little problem xD
So the problem is:
Find an example of an infinity grupoid [MATH] (G, *) [/MATH] whose every real subgrupoid [MATH] (H, *) [/MATH] 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.
So the problem is:
Find an example of an infinity grupoid [MATH] (G, *) [/MATH] whose every real subgrupoid [MATH] (H, *) [/MATH] 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.