Field isomorphism

From: Jose Capco <cliomseerg@xxxxxxxxxxxxxxxxxxxxxxxxx>
Date: 30 Apr 2007 04:09:33 -0700

Dear NG,

Let K be a field (with char=0, Im not sure I will require this) and
consider the ring R=K^N (N being the natural numbers), with pointwise
addition and multiplication. What is the easiest way to show that for
any maximal ideal
M in R, R/M is isomorphic to K (or is this true at all?) ?

Sincerely,
Jose Capco

.

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Re: Field isomorphism
... Jose Capco wrote: ... consider the ring R=K^N, with pointwise ... s-mail: School of Mathematics, Trinity College, Dublin 2, Ireland ...
(sci.math)
Re: Field isomorphism
... |> On Apr 30, 9:09 pm, Jose Capco ... |>> show that for any maximal ideal M in R, R/M is isomorphic to K ... |> not containing any element of this subring. ...
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Re: The Maximal Ideal Quest
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Re: Topologies of Spec
... On 08.11.2005 10:59, Jose Capco wrote: ... > We know for a ring R that there are standard topologies on Spec R (set ... > Spec R is compact and/or Haussdorf.. ...
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Re: Field isomorphism
... consider the ring R=K^N, with pointwise ... If you do that then you lose ringhood, at least in the sense that, ... assuming componentwise addition and multiplication, ...
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