Although not SAGE-specific, some of the issues are discussed in our
Davenport,J.H. & Trager,B.M.,
Scratchpad's View of Algebra I: Basic Commutative Algebra.
Proc. DISCO '90 (Springer Lecture Notes in Computer Science Vol.
429, ed. A. Miola) pp. 40-54.
http://opus.bath.ac.uk/32336/.

Davenport,J.H., Gianni,P. & Trager,B.M.,
Scratchpad's View of Algebra II:
A Categorical View of Factorization.
Proc. ISSAC 1991 (ed. S.M. Watt), ACM, New York, pp. 32--38.
http://opus.bath.ac.uk/32335/.
On Saturday, 30 November 2013 23:04:01 UTC, Nehal Patel wrote:
>
> Hello -- I am interested in learning how one goes about modeling the 
> abstract concepts of modern mathematics such as Groups, Rings, Ideals, 
> Fields, etc.  in an object oriented way (as well as learning a bit about 
> Category Theory along the way).  I seems like a pretty tricky software 
> engineering problem and there must be all sorts of lessons people have 
> learned along the way.  Given the openness of Sage, I figured this was a 
> great place to start.  I'm reading through the Basic Structures section of 
> the Reference Manual and intend to browse through some of the code, but I 
> thought I would ask the lists as well. 
>
> ++ Is there any documentation that describes how the Sage developers 
> decided to design their class hierarchy?  
>
> ++ How similar is it to what is used in Magma?  
>
> ++ Are there good resources that discuss the software design issues 
> (rather than just algorithms) related to CAS
>
> Ideally there would be something equivalent to the section in William 
> Stein's overview video in which he discusses the history and implementation 
> of the Calculus functionality.     
>
> thanks!
>
>

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