reduce() for fraction field elements

asked 2022-01-28 17:06:38 +0100

AShah
11 ●1

updated 2022-01-29 09:22:49 +0100

slelievre
17704 ●22 ●160 ●350 http://carva.org/samue...

I am having an issue with the reduce() method for FractionFieldElement. In a Jupyter notebook I executed the following code

sage: S = FractionField(QQ['t'])
sage: S.inject_variables()
sage: R = PolynomialRing(FractionField(QQ['t']),'x',3)
sage: R.inject_variables()
sage: (((x0^2-x1^2)/(x0-x1)).reduce())

but this returned an object with NoneType, rather than a fraction field element or ring element. What am I doing wrong?

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answered 2022-01-28 23:35:02 +0100

rburing

10929 ●4 ●80 ●218 https://www.rburing.nl/

updated 2022-01-28 23:38:37 +0100

See the documentation of reduce: it modifies the element instead of returning a new copy. So:

sage: f = (x0^2-x1^2)/(x0-x1)
sage: f.reduce()
sage: f
x0 + x1

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Asked: 2022-01-28 17:06:38 +0100

Seen: 269 times

Last updated: Jan 29 '22

reduce() for fraction field elements edit

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