(Z,*) is invertible and has cancellation property, does it imply that is associative?
I know that if it is invertible and is associative, then it is a group and has cancellation property.
I'm confused. Can I say it is associative, only known that is invertible and has cancellation?
Please help, an example will be highly appreciated. Thanks
I know that if it is invertible and is associative, then it is a group and has cancellation property.
I'm confused. Can I say it is associative, only known that is invertible and has cancellation?
Please help, an example will be highly appreciated. Thanks