Re: R[X,Y] polynomial ring



In article <d6vrg1$ido$1@xxxxxxxxxxxxxxxxxx>,
Mike <Mike_jones@xxxxxxxxx> wrote:
>ah i see, a quick query
>the ideal
>reals -R[X][1+X^2] what does this ideal look like?

Huh?

Do you mean, R[X](1+X^2)? I.e., all multiples of 1+X^2?

It looks like all multiples of 1+X^2. They are exactly the polynomials
of R[X] which have the complex number i as a root.

--
======================================================================
"It's not denial. I'm just very selective about
what I accept as reality."
--- Calvin ("Calvin and Hobbes")
======================================================================

Arturo Magidin
magidin@xxxxxxxxxxxxxxxxx

.



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