Hi Robert,
thanks again,
and sorry, my question was not well posed, fortunately (as a
mathematician) I know what an isomorphism is :-),
when I asked what does this exactly mean I actually wanted to know if
in the cases
 'sqrt(5. + RDF(5))' and 'sqrt(RDF(5) + 5.)'
computation is performed by two different implementations of sqrt (gsl
and mpfr) ?

which would mean that sage could be non-commutative in some
pathological cases (or simply if one of the implementations is buggy),
this would be an inconsistency which is not comparable with non-
associativity etc., because the latter obviously can't be avoided
since fixed precision reals do not form a field ...

thanks, Georg

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