Let R be a commutative ring with cancellation property bc=cd

implies \(nb=d\)

for all \(\displaystyle{b},{c},{d}\in{R}\)

If \(cd=0\) and c in non zero, then

\(cd=c \cdot 0\)

\(d=0\)

by cencellation property.

Since \(cd=c \cdot 0\)

\(d=0\)

Since c and d were arbitary R has non zero divisors