Does every ring with 1001 elements contain zero divisors?
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Does every ring with 1001 elements contain zero divisors?
Quote:
Originally Posted by ashamrock415
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...
Tonio
