Singular Manual: ncfactor_lib

> | ### 7.7.13 ncfactor_lib Library: ncfactor.lib Purpose: Tools for factorization in some noncommutative algebras Authors: Albert Heinle, aheinle@uwaterloo.ca Viktor Levandovskyy, levandov@math.rwth-aachen.de Overview: In this library, new methods for factorization on polynomials are implemented for three types of algebras, all generated by 2*n, n in NN, generators (n'th Weyl, n'th shift and graded polynomials in n'th q-Weyl algebras) over a field K. More detailled description of the algorithms and related publications can be found at @url{https://cs.uwaterloo.ca/~aheinle/}. Procedures:
> 7.7.13.0. facWeyl |  | Factorization in the n'th Weyl algebra
> 7.7.13.0. facFirstWeyl |  | Factorization in the first Weyl algebra
> 7.7.13.0. testNCfac |  | Tests factorizations from a given list for correctness
> 7.7.13.0. facSubWeyl |  | Factorization in the first Weyl algebra as a subalgebra
> 7.7.13.0. facShift |  | Factorization in the n'th shift algebra
> 7.7.13.0. facFirstShift |  | Factorization in the first shift algebra
> 7.7.13.0. homogfacNthQWeyl |  | Homogeneous factorization in the n'th Q-Weyl algebra
> 7.7.13.0. homogfacFirstQWeyl |  | Homogeneous factorization in the first Q-Weyl algebra
> 7.7.13.0. homogfacNthQWeyl_all |  | Homogeneous factorization (complete) in the n'th Q-Weyl algebra
> 7.7.13.0. homogfacFirstQWeyl_all |  | Homogeneous factorization (complete) in the first Q-Weyl algebra
> 7.7.13.0. tst_ncfactor |  | Runs the examples of all contained not static functions. Test thing.

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