Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

Does anyone if there exists a math program that can work with free associative algebras ? By work with associative algebras, I mean

  • It can define any ideal $I$, being it left-,right- or twosided.
  • It can define quotientrings $R/I$ and I can do summation and multiplication in it. (if it can work only with ideals generated by homogeneous elements, it's ok).
  • It can calculate elements of the center of an associatieve algebra(= a quotient of a free algebra) of a certain degree (I don't need to find the complete center, just the elements of a certain degree).

Additionally, it would be nice if it were free (opensource or something like that) and it works on Windows.

Thanks in advance.

Forgot to mention: if it can be done in Sage, is there any good documentation on how to do those things ?

share|improve this question
add comment

1 Answer 1

You can use Sagemath : there is a documentation about how to manipulate free algebras. But unfortunately, sagemath is linux native and isn't optimized for Windows...

share|improve this answer
    
Does it do all those things ? The only examples I find give finite dimensional algebras and $R/I$ only works in the case $I$ is a power ideal (if I copy the code from sagemath.org-quotient rings). –  KevinDL Oct 29 '12 at 8:38
add comment

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.