2 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.CO2025
Numerical semigroups from rational matrices IV: computation of the matricial dimensions of numerical semigroups with small Frobenius number or genus
Theo Chinn, Junshu Feng, Stephan Ramon Garcia +1
We introduce a module-theoretic approach and a linear-programming method to compute the matricial dimension of numerical semigroups. We use these to compute the matricial dimension…