Please use this identifier to cite or link to this item:
http://hdl.handle.net/10174/18118
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| Title: | THE FROBENIUS PROBLEM FOR REPUNIT NUMERICAL SEMIGROUPS |
| Authors: | Rosales, J.C.
Branco, M.B.
Torrão, D. |
| Keywords: | numerical semigroup, Frobenius number, Pseudo-Frobenius number, genus, embedding dimension, type |
| Issue Date: | 12-Jul-2015 |
| Publisher: | Springer |
| Citation: | The Ramanujan Journal, pp 1-12. |
| Abstract: | A repunit is a number consisting of copies of the single digit
1. The set of repunits in base b is
{
bn1
b1
j n 2 Nnf0g
}
. A numerical
semigroup S is a repunit numerical semigroup if there exist integers
b 2 Nn f0; 1g and n 2 Nn f0g such that S =
⟨{
bn+i1
b1
j i 2 N
}⟩
. In
this work, we give formulas for the embedding dimension, the Frobenius
number, the type and the genus for a repunit numerical semigroup. |
| URI: | http://link.springer.com/article/10.1007%2Fs11139-015-9719-3#/page-1
http://hdl.handle.net/10174/18118 |
| ISSN: | ISSN: 1382-4090 |
| Type: | article |
| Appears in Collections: | CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica
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