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From Axel <axel...@gmail.com>
Subject Re: [math] Support for Abelian Groups and Rings?
Date Tue, 04 Oct 2011 16:25:56 GMT
2011/10/3 Sébastien Brisard <sebastien.brisard@m4x.org>:
> Hello,
> I'm using quite extensively the Field/FieldElement interfaces, but am
> sometimes feeling the need for less stringent sets like Abelian Groups
> (no multiplication) and Rings (no division). This would allow me to
> carry out some calculations on different types of number simply by
> changing the generic type.
> I was thinking of adding some interfaces along the lines of the two
> above mentioned
>  - AbelianGroup<T>, AbelianGroupElement<T>,
>  - Ring<T>, RingElement<T>.
Hello

You should probably take a look at the JAS type hierachy (see attached
jas_hierarchy.png)
http://krum.rz.uni-mannheim.de/jas/

this paper gives an overview of the JAS design:
http://krum.rz.uni-mannheim.de/kredel/ca-sem-2009.pdf

-- 
Axel Kramer
http://code.google.com/p/symja/wiki/UsedLibraries (JAS and CM examples in Symja)


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