# Thread: Associates in a ring

1. ## Associates in a ring

Thank you very much in advance

2. ## Re: Associates in a ring

what is $J_6$ ?

3. ## Re: Associates in a ring

Please define both $\large \overline{~4~}~\&~\mathcal{J}_6$

4. ## Re: Associates in a ring

I assume $J$ is the set of integers and $J_6$ is the ring of integers modulo 6. (My first group theory text used $J$ to denote the integers.) In $J_6$, 2 divides 4 ($4=2\cdot2$) and 4 divides 2 ($2=4\cdot 5$). So 2 is an associate of 4. Just test all remaining non-zero elements of $J_6$.

5. ## Re: Associates in a ring

Originally Posted by johng
I assume $J$ is the set of integers and $J_6$ is the ring of integers modulo 6. (My first group theory text used $J$ to denote the integers.).
So was mine studying with M J Weiss, fifty years ago. BUT my point is: Why the h*ll should we have to guess(assume) anything?? Why not encourage posting complete problems with definitions? If the guess is incorrect the a lot of time is wasted.