my idea is to construct some associative property and distributivity 
property with category package first 

and then use hom to combine these category diagram , this method i am not 
sure correct or not.

will sympy have operads in future? is it a need to use operads to create 
algebra or generate operation or construct theory? or which one need it?

how to display a associative property and distributivity property with 
category module?

when see the example, i do not understand how Object S x S is an object, i 
guess that there is another way to write in sympy

reference from 
http://www.mathematik.uni-muenchen.de/~pareigis/Vorlesungen/04SS/Cats1.pdf any 
example to show associativity and distributivity diagram?

A = Object("S x S")
B = Object("S")

....
g == NamedMorphism(A, B, "g")

            S x mult
S x S x S  ------>   S x S

  |                   |
  | mult x S          |  mult
  |                   |
 \|/                 \|/

S x S      ------->   S
            mult

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