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I met lot's of binary operation which is associative and commtative and I also met lot's of binary operation which is associative and not abelian

but

is there an example for a binary operation which is commtative and not associative ?

I don't remmber that I've met one likes this .

and what about a binary operation which is not commutative and not abelian ?

I know that there is no relation between associative and commutative laws

but , all books don't mentions operations like this ?!

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# Is there an example for a binary operation which is commtative and not associative ?

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