Work

Numerical Semigroups From Rational Matrices Iv: Computation of the Matricial Dimensions of Numerical Semigroups With Small Frobenius Number or Genus

Year: 2026

Type: article

Abstract: We introduce a module-theoretic approach and a linear-programming method to compute the matricial dimensions of numerical semigroups. We compute the matricial dimension of every numerical semigroup with Frobenius number at most 10 $10$ 10 or genus at most 6 $6$ 6 . Many of these evaluations are beyond the scope of previous techniques.

Source: Bulletin of the Australian Mathematical Society

DOI: 10.1017/s0004972726101063

Authors: THEO CHINN, JUNSHU FENG, STEPHAN RAMON GARCIA, PEITING JIANG

Institution: Pomona College

Language: English

Topic: Commutative Algebra and Its Applications

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,550

Funders: National Science Foundation, Pomona College