On Tue, Mar 10, 2009 at 4:52 PM, critch <crit...@gmail.com> wrote:
>
> In each case below "I" and "J" are defined by different choices of
> generators and are recognized as the same ideal.  In case 1 the
> quotients are considered equal and in case 2 they are considered
> unequal.
>
> (I checked this with the latest version)
>
> Case 1:
> ----------
>
> sage: R.<x> = PolynomialRing(QQ)
> sage: I = R.ideal([x + x^2, x])
> sage: J = R.ideal([2*x + 2*x^2, x])
> sage: S = R.quotient_ring(I)
> sage: U = R.quotient_ring(J)
> sage: I==J
> True
> sage: S==U
> True
>
> Case 2:
> ----------
>
> sage: R.<x> = PolynomialRing(QQ)
> sage: I = R.ideal([x + x^2])
> sage: J = R.ideal([2*x + 2*x^2])
> sage: S = R.quotient_ring(I)
> sage: U = R.quotient_ring(J)
> sage: I==J
> True
> sage: S==U
> False
>
> ***
>
> Cheers!  Let me know what happens about this :)
>
> - Critch

Thanks.  This is now trac #5477:


http://trac.sagemath.org/sage_trac/ticket/5477

William

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