Math Help - quotient rings 2

1. quotient rings 2

If R is an integral domain and ab=ac for a not equal to 0,b,c in R, show that b=c.

2. Originally Posted by mpryal
If R is an integral domain and ab=ac for a not equal to 0,b,c in R, show that b=c.

being in an integral domain means you have a commutative ring in which for x and y in the ring, xy = 0 implies x = 0 or y = 0

with that in mind, consider ab - ac = 0