Work

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

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2606.30876

Authors: Chinn, Theo, Feng, Junshu, Garcia, Stephan Ramon, Zhang, Hechun

Institutions: Pomona College, Tsinghua University

Language: English

Topic: Rings, Modules, and Algebras

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, National Natural Science Foundation of China

Awards: G3022572444, G3837603398, RUI: Operator Theory and Its Connections, G6588943983

OpenAlex ID: W7166892185

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