On the generalized Feng-Rao numbers of numerical semigroups generated by   intervals

M. Delgado; J. I. Farr\'an; P. A. Garc\'ia-S\'anchez; D.; Llena

arXiv:1105.4833·math.NT·February 12, 2019·Math. Comput.

On the generalized Feng-Rao numbers of numerical semigroups generated by intervals

M. Delgado, J. I. Farr\'an, P. A. Garc\'ia-S\'anchez, D., Llena

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TL;DR

This paper investigates the generalized Feng-Rao numbers of numerical semigroups, providing a formula for those generated by intervals, which advances understanding of their algebraic structure and potential applications.

Contribution

It introduces a formula for the r-th Feng-Rao number specifically for numerical semigroups generated by intervals, expanding computational tools in this area.

Findings

01

Derived a formula for the r-th Feng-Rao number for interval-generated semigroups

02

Enhanced methods for computing Feng-Rao numbers in specific semigroup classes

03

Provided theoretical insights into the structure of numerical semigroups

Abstract

We give some general results concerning the computation of the generalized Feng-Rao numbers of numerical semigroups. In the case of a numerical semigroup generated by an interval, a formula for the $r^{t h}$ Feng-Rao number is obtained.

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