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 Post subject: certificate of algebraic dependence
PostPosted: Tue Jul 29, 2008 1:16 am 

Joined: Tue Jul 29, 2008 1:06 am
Posts: 3
Location: Auckland, New Zealand
Hello all:

Is there a Singular function (or any algorithm whatsoever) that, given a finite set of algebraically dependent multivariate polynomials f_1,...,f_k
(over the rationals, say), computes an irreducible annihilating
polynomial for that set, that is, a nonzero irreducible polynomial P
(with rational coefficients) such that P(f_1,...,f_k) = 0? I
searched the Singular documentation on this topic but didn't find anything.

Cheers,
Alex


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PostPosted: Thu Aug 14, 2008 12:20 am 
Yes, there are 3 procedures in algebra.lib

algebra_containment
inSubring
algDependent

testing algebraic dependence by different algoruthms.


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