# Factor ring of a ring

## Homework Statement

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

## Homework Equations

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

## The Attempt at a Solution

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

Dick
Homework Helper
ZxZ/5Z doesn't even make much sense. 5Z isn't a subring of ZxZ.

I forgot about that.. let try Z/ZxZ =~ Z Since ZxZ is a subring of Z.

Dick