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

asked 2020-03-13 00:17:28 -0500

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 16:34:09 -0500

rburing gravatar image

updated 2020-03-13 16:36:02 -0500

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 00:17:28 -0500

Seen: 63 times

Last updated: Mar 13