RT journal article
T1 Ratio-Covarieties of Numerical Semigroups
A1 Moreno Frías, María Ángeles
A1 Rosales, José Carlos
A2 Matemáticas
K1 Numerical semigroup
K1 ratio-covariety
K1 Frobenius number
K1 genus
K1 ratio
K1 algorithm
AB In this work, we will introduce the concept of ratio-covariety, as a family R of numericalsemigroups that has a minimum, denoted by min(R), is closed under intersection, and if S ∈ Rand S ̸= min(R), then S\{r(S)} ∈ R, where r(S) denotes the ratio of S. The notion of ratiocovarietywill allow us to: (1) describe an algorithmic procedure to compute R; (2) prove theexistence of the smallest element of R that contains a set of positive integers; and (3) talk aboutthe smallest ratio-covariety that contains a finite set of numerical semigroups. In addition, inthis paper we will apply the previous results to the study of the ratio-covariety R(F,m) = {S |S is a numerical semigroup with Frobenius number F and multiplicity m}.
PB MDPI
YR 2024
FD 2024
LK http://hdl.handle.net/10498/35378
UL http://hdl.handle.net/10498/35378
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 11-nov-2026