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#1 2009-03-19 00:05:29

GemmaJ1988
Member
Registered: 2008-10-08
Posts: 39

Rings- Algebra

Let R be the ring


Prove that

given by

satisifies N(ab)=N(a)N(b)

Does anyone know how i would attempt to solve a question like this? please help:(

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#2 2009-03-19 01:04:18

Ricky
Moderator
Registered: 2005-12-04
Posts: 3,791

Re: Rings- Algebra

Compute it directly.


Now compute N(ab), N(a), and N(b).


"In the real world, this would be a problem.  But in mathematics, we can just define a place where this problem doesn't exist.  So we'll go ahead and do that now..."

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#3 2009-03-19 01:12:27

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: Rings- Algebra


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