#17674: xgcd is badly named on non PID domains
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Reporter: vdelecroix | Owner:
Type: PLEASE CHANGE | Status: new
Priority: major | Milestone: sage-6.5
Component: PLEASE CHANGE | Resolution:
Keywords: | Merged in:
Authors: | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: | Stopgaps:
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Comment (by vdelecroix):
[http://en.wikipedia.org/wiki/Extended_Euclidean_algorithm Wikipedia] is
formal about the definition of xgcd. But there is a mention of
{{{
as + bt = Res(a,b)
}}}
in the section
[http://en.wikipedia.org/wiki/Extended_Euclidean_algorithm#Polynomial_extended_Euclidean_algorithm
Polynomial extended Euclidean algorithm]. See also the page on
[http://en.wikipedia.org/wiki/B%C3%A9zout%27s_identity Bézout identity]
[http://www.math.uiuc.edu/Software/magma/text315.html magma] defines xgcd
only for univariate polynomials over fields or residue class ring with
prime modulus.
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Ticket URL: <http://trac.sagemath.org/ticket/17674#comment:1>
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