Does every ring with 1001 elements contain zero divisors?

May 8th 2010, 01:46 PM

tonio

Quote:

Originally Posted by ashamrock415

Does every ring with 1001 elements contain zero divisors?

Yes, otherwise it'd be a field - a finite ring without zero divisors is a division ring and thus a field (this is not trivial!) - , but $\displaystyle 1001=7\cdot 11\cdot 13$ is not the power of a prime...