- #1
penroseandpaper
- 21
- 0
Hi everyone,
I'm working through some group theory questions online. But unfortunately they don't have answers to go with them. So, I'm hoping you can say if I'm on the right track.
If this is a binary operation on ℝ, am I right in thinking it satisfies the closure and associativity axioms but fails the identity axiom because there is no value 'e' which satisfies both a+e=e and ae=a?
a•b=(a+b)/ab
Thanks
I'm working through some group theory questions online. But unfortunately they don't have answers to go with them. So, I'm hoping you can say if I'm on the right track.
If this is a binary operation on ℝ, am I right in thinking it satisfies the closure and associativity axioms but fails the identity axiom because there is no value 'e' which satisfies both a+e=e and ae=a?
a•b=(a+b)/ab
Thanks