I have a trouble proving that a finate (nonzero) commutative ring with no zero divisors must have an identity with respect to multiplication. Could anybody please give me some hints?(adsbygoogle = window.adsbygoogle || []).push({});

I do know all the definitions (of ring, commutative ring, zero divisors, identity) but have no idea how to go from there.

Thanks!

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# Commutative rings with identity

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