Hi,

The 5-year old ticket #4738 says "the base ring of an order in a
relative number field should be the ring of integers of the base field
of the relative number field".  This contradicts a doctest in
number_field_rel.py which explicitly says "The base ring of an order
in a relative extension is still `\ZZ`".

Can we pick one of these two behaviors?  What do *you* expect the last
ring below to be?

sage: K.<a, b, c> = QQ[2^(1/2), 2^(1/3), 3^(1/2)]
sage: R = K.order([a, b, c])
sage: R
Relative Order in Number Field in sqrt2 with defining polynomial x^2 -
2 over its base field
sage: K.base_field()
Number Field in a with defining polynomial x^3 - 2 over its base field
sage: R.base_ring()


-- 
Best,
Alex

--
Alex Ghitza -- Lecturer in Mathematics -- The University of Melbourne
http://aghitza.org

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