# Quotient of ideals in powerseries ring

Is it possible to take quotient (colon) of two ideals in a multivariable powerseries ring over a field?

e.g. the following code gives me error(s):

sage: R.<x,y,z> = PolynomialRing(QQ,3)
sage: I = Ideal([x^2+x*y*z,y^2-z^3*y,z^3+y^5*x*z])
sage: J = Ideal([x])
sage: Q = I.quotient(J)


Thanks and regards

--VInay

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The code you posted gives me no errors (in version 4.7.1). Did you mean to make R a power series ring? If you did, that would certainly give you errors as ideal quotients have not been implemented for power series rings.

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I precisely mean to take R as a Power Series Ring. Is it that the same algorithm (as that for Polynomials) does not work for Power Series? In that case where is the problem?

-- VInay

( 2011-09-20 19:38:17 -0600 )edit
1

The problem is that no one has implemented the algorithm! If you're interested, you should do it :)

( 2011-09-23 01:25:01 -0600 )edit