Numerical semigroups from rational matrices II: matricial dimension does not exceed multiplicity

Autor:	Chhabra, Arsh, Garcia, Stephan Ramon, O'Neill, Christopher
Rok vydání:	2024
Předmět:	Mathematics - Combinatorics
Druh dokumentu:	Working Paper
Popis:	We continue our study of exponent semigroups of rational matrices. Our main result is that the matricial dimension of a numerical semigroup is at most its multiplicity (the least generator), greatly improving upon the previous upper bound (the conductor). For many numerical semigroups, including all symmetric numerical semigroups, our upper bound is tight.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2407.15571 Zobrazit plný text záznamu View this record from Arxiv