Numerical semigroups with a monotonic Apéry set

Title:

Numerical semigroups with a monotonic Apéry set

Creator:

Rosales, José Carlos, García-Sánchez, Pedro A. , García-García;, Juan Ignacio , and Branco, M. B.

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:5451a436-7320-42c6-9037-df7d6bb6de0e
uuid:5451a436-7320-42c6-9037-df7d6bb6de0e

Subject:

numerical, semigroups, Apéry, sets, symmetric, affine, proportionally, modular, Diophantine, and inequality

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

We study numerical semigroups $S$ with the property that if $m$ is the multiplicity of $S$ and $w(i)$ is the least element of $S$ congruent with $i$ modulo $m$, then $0<w(1)<\dots <w(m-1)$. The set of numerical semigroups with this property and fixed multiplicity is bijective with an affine semigroup and consequently it can be described by a finite set of parameters. Invariants like the gender, type, embedding dimension and Frobenius number are computed for several families of this kind of numerical semigroups.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

755-772

Source:

Czechoslovak Mathematical Journal | 2005 Volume:55 | Number:3

Harvested from:

CDK

Metadata only:

false