How to find the dimension of Grobner basis

Sanu
89 ●4 ●9 ●17

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?

1 Answer

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

sage: I.dimension()

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Last updated: Apr 30 '22