#18600: Fix several methods for sparse polynomials
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       Reporter:  bruno              |        Owner:
           Type:  defect             |       Status:  needs_work
       Priority:  major              |    Milestone:  sage-6.9
      Component:  commutative        |   Resolution:
  algebra                            |    Merged in:
       Keywords:  sparse polynomial  |    Reviewers:  Vincent Delecroix
        Authors:  Bruno Grenet       |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:  public/18600       |  e75ab73b3b2e0bc3a40105640d0572b1b6af9cea
   Dependencies:                     |     Stopgaps:
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Comment (by bruno):

 Actually, this yields other problems... And with my proposal, you get the
 following behavior which may not be wanted:

 {{{#!python
 sage: A.<a1, a2> = PolynomialRing(ZZ)
 sage: B.<b> = PolynomialRing(A)
 sage: C.<c> = PowerSeriesRing(B)
 sage: R.<x> = PolynomialRing(C)
 sage: f = a2*x^2 + c*x - a1*b
 sage: f.parent()
 Univariate Polynomial Ring in x over Power Series Ring in c over
 Univariate Polynomial Ring in b over Multivariate Polynomial Ring in a1,
 a2 over Integer Ring
 sage: f.integral().parent()
 Univariate Polynomial Ring in x over Fraction Field of Power Series Ring
 in c over Univariate Polynomial Ring in b over Multivariate Polynomial
 Ring in a1, a2 over Integer Ring
 }}}

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Ticket URL: <http://trac.sagemath.org/ticket/18600#comment:13>
Sage <http://www.sagemath.org>
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