On the factorization of non-commutative polynomials (in free associative algebras)

@article{Schrempf2019OnTF,
  title={On the factorization of non-commutative polynomials (in free associative algebras)},
  author={Konrad Schrempf},
  journal={J. Symb. Comput.},
  year={2019},
  volume={94},
  pages={126-148}
}
  • Konrad Schrempf
  • Published 2019
  • Mathematics, Computer Science
  • J. Symb. Comput.
  • Abstract We describe a simple approach to factorize non-commutative polynomials, that is, elements in free associative algebras (over a commutative field), into atoms (irreducible elements) based on (a special form of) their minimal linear representations. To be more specific, a correspondence between factorizations of an element and upper right blocks of zeros in the system matrix (of its representation) is established. The problem is then reduced to solving a system of polynomial equations… CONTINUE READING
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