If R is a finite ring and its additive group is cyclic, then(adsbygoogle = window.adsbygoogle || []).push({});

R = <r> = {nr : n an integer} for some r in R.

r^2 is in R so r^2 = kr for some integer k.

Does k have to divide the order of R?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Cyclic rings

**Physics Forums | Science Articles, Homework Help, Discussion**