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Mathew August 25th, 2010 10:45 AM

Ring
 
Give an example of a non trivial commutative ring in which every element is of square 0

Turgul August 25th, 2010 12:27 PM

Re: Ring
 
Does your definition of a ring include a multiplicative identity? If so, can this multiplicative identity ever square to zero?

Mathew August 26th, 2010 09:45 AM

Re: Ring
 
No there is no mulplicative identity 1

Turgul August 26th, 2010 08:28 PM

Re: Ring
 
Then what are the subrings of the integers mod 4? Do any of them have this property?

Mathew August 29th, 2010 06:49 PM

Re: Ring
 
Do you mean the subrings of Z_4

Turgul August 29th, 2010 08:53 PM

Re: Ring
 
Yes, I mean which is often written . What are the subrings of this ring and might any of them have the desired property?


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