How to print variables order of a polynomial ring?

PolynomialRing

asked 2025-02-27 17:14:56 +0100

Alexander Verner
11 ●1

updated 2025-03-20 08:35:08 +0100

FrédéricC

5426 ●4 ●44 ●121

Hello,

I've a generic multivariate polynomial ring, for which I need to print the order of its variables, e.g., lex, degrevlex, etc. The method terms_order is missing for PolynomialRing type polynomials. Please suggest an alternative. Here's a sample code that doesn't work:

R = PolynomialRing(QQ, names=['x_1'], order='lex')
R.term_order()   # This line fails with "KeyError: 'term_order'"!

Thank you in advance for your help.

Regards, Alexander.

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Add 1 to the definition of R to make it multivariate R = PolynomialRing(QQ, 1, names=['x_1'], order='lex') with full support for term orders.

Max Alekseyev ( 2025-02-27 20:07:51 +0100 )edit

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answered 2025-02-27 19:57:52 +0100

John Palmieri

8906 ●20 ●74 ●193 http://www.math.washin...

Term order is not defined for single-variable polynomial rings, just for multivariable rings:

sage: R2 = PolynomialRing(QQ, names=['x_1', 'x_2'], order='lex')
sage: R2.term_order()
Lexicographic term order

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Single-variable polynomial ring can still be defined as multivariate:

sage: R1 = PolynomialRing(QQ, 1, names=['x_1'], order='lex')
sage: R1.term_order()

Max Alekseyev ( 2025-02-27 20:06:24 +0100 )edit

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Asked: 2025-02-27 17:14:56 +0100

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Last updated: Feb 27

How to print variables order of a polynomial ring? edit

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