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Polynomial ring with a number (to be determined) of variables

asked 2020-03-13 06:17:28 +0200

mcmug gravatar image

I know that we can construct the ring of polynomials with three variables with the following command:

R.<x0,x1,x2>=PolynomialRing(ZZ)

How can I construct the ring of polynomials with $n$ varaibles, where $n$ is to be specified later?

Thanks in advance!

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answered 2020-03-13 22:34:09 +0200

rburing gravatar image

updated 2020-03-13 22:36:02 +0200

You don't even have to decide on $n$ at all; just take an infinite polynomial ring.

By Infinite Polynomial Rings, we mean polynomial rings in a countably infinite number of variables. The implementation consists of a wrapper around the current finite polynomial rings in Sage.

Call polynomial_ring() to get the underlying finite polynomial ring.

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Asked: 2020-03-13 06:17:28 +0200

Seen: 100 times

Last updated: Mar 13 '20