Re: Field isomorphism

Jose Capco wrote:

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?) ?

Is it completely clear what you mean by K^N ?
Do you allow all elements (x_0,x_1,...),
or only those with a finite number of non-zero entries?

--
Timothy Murphy
e-mail (<80k only): tim /at/ birdsnest.maths.tcd.ie
tel: +353-86-2336090, +353-1-2842366
s-mail: School of Mathematics, Trinity College, Dublin 2, Ireland
.

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