Hi everybody,

f is a binary operation defined in as follows:

I find that is commutative and associative.

I must show that takes a neutral element; and i must find if each element of has an inverse element?

How to do it??

Thanks.

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- Mar 24th 2010, 06:30 AMlehderBinary operation
Hi everybody,

f is a binary operation defined in as follows:

I find that is commutative and associative.

I must show that takes a neutral element; and i must find if each element of has an inverse element?

How to do it??

Thanks. - Mar 24th 2010, 09:32 AMHaven
For the identity (neutral) element.

You must solve

so

Then for the inverses, solve the equation

so

- Mar 24th 2010, 09:33 AMtonio