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How to find the dimension of Grobner basis

asked 2022-04-30 09:09:45 +0200

Sanu gravatar image

updated 2022-04-30 09:10:13 +0200

I have a set POLY of multivariate polynomials over integer. From this set, we can calculate Grobner basis as follows:

I=(POLY)*RING
I=Ideal(I)
B = I.groebner_basis()

where RING is the corresponding polynomial ring. I want to find the dimension of B as defined in https://en.wikipedia.org/wiki/Gr%C3%B....

How to find that in Sage?

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answered 2022-04-30 09:16:08 +0200

tmonteil gravatar image

updated 2022-04-30 09:17:05 +0200

You link is refering to the dimension of the ideal, so you can just use:

sage: I.dimension()
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Asked: 2022-04-30 09:09:45 +0200

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Last updated: Apr 30