#16381: primary decomposition doesn't work when ideal is in a quotient
polynomial
ring
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Reporter: was | Owner: malb
Type: defect | Status: new
Priority: minor | Milestone: sage-6.3
Component: commutative algebra | Resolution:
Keywords: | Merged in:
Authors: | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: | Stopgaps:
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Comment (by malb):
So we'd want somthing like this?
{{{#!python
sage: R.<x,y,z> = QQ[]
sage: I = R.ideal([x*y - z^2])
sage: A.<xbar,ybar,zbar> = R.quotient(I)
sage: J = A.ideal([x,z])
# primary decomposition starts here
sage: J = Ideal(f.lift() for f in p.gens())
sage: Q = Sequence(Ideal(A(f) for f in q.gens()) for q in (I +
J).primary_decomposition())
}}}
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Ticket URL: <http://trac.sagemath.org/ticket/16381#comment:1>
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