3 papers
math.NT2026
Power-integral matrices over number fields: the Drazin inverse, pseudo-determinant, and numerical semigroups
Theo Chinn, Junshu Feng, Stephan Ramon Garcia +1
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 result…
math.GM2025
Centralizers, Clifforders, Polynomial Equivalence and -equivalence of Matrices
Hechun Zhang, Chengyi Zhu
This paper is devoted to the study of the centralizer and the clifforder of matrices over a field of characteristic zero, together with the quasi-commutative relations…
math.CO2024
Numerical semigroups from rational matrices I: power-integral matrices and nilpotent representations
Arsh Chhabra, Stephan Ramon Garcia, Fangqian Zhang +1
Our aim in this paper is to initiate the study of exponent semigroups for rational matrices. We prove that every numerical semigroup is the exponent semigroup of some rational matr…