Hi Marduk

You certainly know that this is not entirely trivial. The REDUCE ncpoly is quite
slow (at least it was some years go). IMO Singular's nfactor.lib is quite
sophisticated and could also be implemented in fricas (all structures are
already availabe, Ring, FreeModule(R,S) is nc ...
This might be a good opportunity for you to write a package ;)

Cohn (a must - showed that assoc free algebra is a unique fac. domain)
http://sms.math.nus.edu.sg/smsmedley/Vol-19-2/Euclid's%20algorithm-%20since%20Euclid(PM%20Cohn).pdf

UFD
https://en.wikipedia.org/wiki/Unique_factorization_domain

SINGULAR/NFACTOR.LIB
https://cs.uwaterloo.ca/~aheinle/posters/cheriton_poster.pdf
https://www.singular.uni-kl.de/Manual/latest/sing_704.htm#SEC756


On 28.05.2018 08:19, Marduk wrote:
> Thank you Bill! I already contacted the author.
> 
> I also found out that REDUCE includes this functionality:
> 
> http://www.reduce-algebra.com/reduce38-docs/ncpoly.pdf
> 
> 
> I think it should also be included in Axiom/FriCAS.
> 
> Marduk
> 
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