Is this a "math" limitation or Sage limitation ? If it's the later then
should it be worked on ?
'Sage Version 4.6.2, Release Date: 2011-02-25'
sage: var('x x2')
(x, x2)
sage: Q = PolynomialRing(QQ,[x,x2])
sage: I = Q*([x+x2])
sage: I.gro
I.groebner_basis I.groebner_fan
sage: I.groebner_fan()
---------------------------------------------------------------------------
RuntimeError Traceback (most recent call last)
......
/Users/tnguyen/Src/Devel/SAGE/sage/local/lib/python2.6/site-packages/sage/rings/polynomial/groebner_fan.pyc
in __init__(self, I, is_groebner_basis, symmetry, verbose)
453 raise TypeError, "I must be a multivariate polynomial
ideal"
454 if prefix_check([str(R_gen) for R_gen in I.ring().gens()])
!= True:
--> 455 raise RuntimeError, "Ring variables cannot contain each
other as prefixes"
456 S = I.ring()
457 R = S.base_ring()
RuntimeError: Ring variables cannot contain each other as prefixes
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