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Quotient of ideals in powerseries ring

asked 2011-09-19 21:17:26 -0500

updated 2011-09-20 00:56:05 -0500

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


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answered 2011-09-20 01:58:08 -0500

niles gravatar image

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

VInay Wagh gravatar imageVInay Wagh ( 2011-09-20 19:38:17 -0500 )edit

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

niles gravatar imageniles ( 2011-09-23 01:25:01 -0500 )edit

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Asked: 2011-09-19 21:17:26 -0500

Seen: 136 times

Last updated: Sep 20 '11