Hi all,

I started a revision of the field stuff. E.g. Simple algebraic
extensions are MonogenicAlgebra 's, so I included this and learnt, that
in this case one inherits DifferentialExtension with more differential
operators.
I think noone needs them (please indicate, if there are other
opionons).  Actuallly, I also do not know, why we have a trivial
differential operator ( 0) in FiniteFieldCategory, because this category
claims to inherit vom DifferentialRing. Can anyone tell me, who needs
this, otherwise I would like to drop it. In any case, some domains have
functions inherited, which are no longer needed. E.g.
We have a degree function with values in OnePointCompletion
PositiveInteger to allow the degree of a transcendent element to be
infinite. However, in an algebraic extension of a finite field we never
have a transcendent element, hence degree should map to PositiveInteger.
So I want to drop the inherited degree function, because it is
superfluous. .

A suggestion an question to the compiler specialists: Similar to "with"
can't we have a "without" to drop Categories or single functions.

-- 
Mit freundlichen Grüßen

Johannes Grabmeier

Prof. Dr. Johannes Grabmeier
Köckstraße 1, D-94469 Deggendorf
Tel. +49-(0)-991-2979584, Tel. +49-(0)-151-681-70756
Tel. +49-(0)-991-3615-141 (d),  Fax: +49-(0)-32224-192688

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