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Finite Rings
Posted:
Feb 3, 2013 10:21 PM
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> If R is a finite commutative ring without multiplicative identity
> and if every element is a zero divisor, then does there exist
> a nonzero element which annihilates all elements of the ring?
Ask-an-Algebraist
No - the trivial ring.
So add the premise that R has a nonzero element.
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