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Topic: Finite Rings
Replies: 28   Last Post: Feb 6, 2013 8:33 AM

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William Elliot

Posts: 1,450
Registered: 1/8/12
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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