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arXiv · 2606.30876

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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Theo Chinn, Junshu Feng, Stephan Ramon Garcia, Hechun Zhang. 2026-06-29. Power-integral matrices over number fields: the Drazin inverse, pseudo-determinant, and numerical semigroups. https://arxiv.org/abs/2606.30876

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