#5074: singular factorization over GF(p) need not be a complete factorization
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Reporter: was | Owner: malb
Type: defect | Status: new
Priority: major | Milestone: sage-3.3
Component: commutative algebra | Resolution:
Keywords: |
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Comment (by was):
Code I use to find countexamples:
{{{
k.<a> = GF(19^2); R.<x,y> = PolynomialRing(k)
for i in range(5000):
v = [R.random_element() for _ in range(3)]; print i; assert
prod(v).factor().prod() == prod(v)
}}}
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/5074#comment:1>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of
Reinventing the Wheel
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