| Title:
|
Numerical semigroups with a monotonic Apéry set (English) |
| Author:
|
Rosales, J. C. |
| Author:
|
García-Sánchez, P. A. |
| Author:
|
García-García, J. I. |
| Author:
|
Branco, M. B. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
55 |
| Issue:
|
3 |
| Year:
|
2005 |
| Pages:
|
755-772 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
numerical |
| Keyword:
|
semigroups |
| Keyword:
|
Apéry |
| Keyword:
|
sets |
| Keyword:
|
symmetric |
| Keyword:
|
affine |
| Keyword:
|
proportionally |
| Keyword:
|
modular |
| Keyword:
|
Diophantine |
| Keyword:
|
inequality |
| MSC:
|
11D75 |
| MSC:
|
13H10 |
| MSC:
|
20M14 |
| idZBL:
|
Zbl 1081.20071 |
| idMR:
|
MR2153099 |
| . |
| Date available:
|
2009-09-24T11:27:23Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128019 |
| . |
| Reference:
|
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