Please use this identifier to cite or link to this item:
http://hdl.handle.net/10174/5940
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| Title: | NUMERICAL SEMIGROUPS WITH MONOTONIC AP´ERY SET |
| Authors: | Rosales, J.C.
Garcia-Sanches, P.A.
Garcia-Garcia, J.I.
Branco, M.B. |
| Keywords: | Numerical semigroup
Apéry sets
proportionally modular Diophantine inequality |
| Issue Date: | 2005 |
| Publisher: | Czechoslovak Mathematical Journal |
| Abstract: | 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) < : : : <
w(m 1). The set of numerical semigroups with this property and xed multiplicity is
bijective with an a ne semigroup and consequently it can be described by a nite set of
parameters. Invariants like the gender, type, embedding dimension and Frobenius number
are computed for several families of this kind of numerical semigroups. |
| URI: | http://hdl.handle.net/10174/5940 |
| Type: | article |
| Appears in Collections: | MAT - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica
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