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PreprintarXiv licencearXiv

Factorization of central polynomials over division algebras

  • A. G. Goutor
  • S. V. Tikhonov
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Abstract

The factorization problem is a classical topic in the theory of polynomial rings. In this paper, we obtain an irreducibility criterion for central polynomials over division algebras. An example demonstrating the computation of factors for a central polynomial is also presented.

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Cite

BibTeXRIS
BibTeX
@misc{goutor2026factorization,
  title = {{Factorization of central polynomials over division algebras}},
  author = {A. G. Goutor and S. V. Tikhonov},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.04529},
  eprint = {2609.04529},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.04529},
}
RIS
TY  - UNPB
TI  - Factorization of central polynomials over division algebras
AU  - A. G. Goutor
AU  - S. V. Tikhonov
PY  - 2026
DA  - 2026/09/03
PB  - arXiv
DO  - 10.48550/arxiv.2609.04529
UR  - https://arxiv.org/abs/2609.04529
AB  - The factorization problem is a classical topic in the theory of polynomial rings. In this paper, we obtain an irreducibility criterion for central polynomials over division algebras. An example demonstrating the computation of factors for a central polynomial is also presented.
ER  -