# Ring Isomorphism

Please see the attached file for the fully formatted problem.

Let gcd(m, n) = 1. We know that Zmn = Zm Ã— Zn as an additive group. Is

there a ring isomorphism Zmn = Zm Ã— Zn? Same question for the complex

numbers C with C = R Ã— R as an additive group.

https://brainmass.com/math/ring-theory/presence-ring-isomorphisms-11434

#### Solution Summary

The presence of ring isomorphisms is ascertained. The solution is detailed and well presented.

$2.19