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PreprintarXiv licencearXiv

Power-integral matrices over number fields: the Drazin inverse, pseudo-determinant, and numerical semigroups

  • Theo Chinn
  • Junshu Feng
  • Stephan Ramon Garcia
  • Hechun Zhang
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Abstract

We investigate matrices with entries in a number field such that some positive power has all its entries in the corresponding ring of integers. Our work generalizes previous results in several directions and we find applications to numerical semigroups.

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Cite

BibTeXRIS
BibTeX
@misc{chinn2026powerintegral,
  title = {{Power-integral matrices over number fields: the Drazin inverse, pseudo-determinant, and numerical semigroups}},
  author = {Theo Chinn and Junshu Feng and Stephan Ramon Garcia and Hechun Zhang},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2606.30876},
  eprint = {2606.30876},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.30876},
}
RIS
TY  - UNPB
TI  - Power-integral matrices over number fields: the Drazin inverse, pseudo-determinant, and numerical semigroups
AU  - Theo Chinn
AU  - Junshu Feng
AU  - Stephan Ramon Garcia
AU  - Hechun Zhang
PY  - 2026
DA  - 2026/11/12
PB  - arXiv
DO  - 10.48550/arxiv.2606.30876
UR  - https://arxiv.org/abs/2606.30876
AB  - We investigate matrices with entries in a number field such that some positive power has all its entries in the corresponding ring of integers. Our work generalizes previous results in several directions and we find applications to numerical semigroups.
ER  -