(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

give an example to show that a factor ring of a ring with divisors of 0 may be an integral domain.

2. Relevant equations

since we know that ZxZ is a zero divisor and 5Z is an integral domain.

3. The attempt at a solution

So, ZxZ/5Z =~(isomorphic to) Z/5Z=~ Z_5.

**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!

# Homework Help: Factor ring of a ring

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