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7.7.12 ncfactor_lib
- Library:
- ncfactor.lib
- Purpose:
- Tools for factorization in some noncommutative algebras
- Authors:
- Albert Heinle, albert.heinle@rwth-aachen.de
Viktor Levandovskyy, levandov@math.rwth-aachen.de
- Overview:
- In this library, new methods for factorization on polynomials
are implemented for two algebras, both generated by two generators (Weyl and
shift algebras) over a field K. Recall, that the first Weyl algebra over K
is generated by x,d obeying the relation d*x=x*d+1.
The first shift algebra over K is generated by x,s obeying the relation s*x=x*s+s.
More detailled description of the algorithms can be found at
@url{http://www.math.rwth-aachen.de/~Albert.Heinle}.
Guide: We are interested in computing a tree of factorizations, that is at the moment
a list of all found factorizations is returned. It may contain factorizations, which
are further reducible.
Procedures:
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