Bibliography

1

C. Arf, Une interprétation algébrique de la suite des ordres de multiplicité d'une branche algébrique, Proc. London Math. Soc., 20 (1949), 256-287.

2

V. Barucci, D. E. Dobbs and M. Fontana, ``Maximality Properties in Numerical Semigroups and Applications to One-Dimensional Analytically Irreducible Local Domains", Memoirs of the Amer. Math. Soc. 598 (1997).

3

J. Bertin and P. Carbone, Semi-groups d'entiers et application aux branches, J. Algebra 49 (1987), 81-95.

4

A. Campillo and J. M. Ruiz, Some remarks on Pythagorean real curve germs, J. Algebra, 128 (1990), 271-275.

5

J. Castellanos, A relation between the sequence of multiplicities and the semigroups of values of an algebroid curve, J. Pure Appl. Algebra, 43 (1986), 119-127.

6

C. Delorme, Sous-monoïdes d'intersection complète de ${\mathbb{N}}$, Ann. Scient. École Norm. Sup. (4), 9 (1976), 145-154.

7

R. Fröberg, C. Gottlieb, R. Häggkvist, Semigroups, semigroup rings and analytically irreducible rings, Report Univ. Stockholm 1 (1986).

8

R. Fröberg, G. Gottlieb and R. Häggkvist, On numerical semigroups, Semigroup Forum, 35 (1987), 63-83.

9

R. P. Grimaldi, ``Discrete and combinatorial mathematics. An applied introduction'', Addison-Wesley, Reading, Massachusetts, 1994.

10

E. Kunz, The value-semigroup of a one-dimensional Gorenstein ring, Proc. Amer. Math. Soc., 25 (1973), 748-751.

11

J. Lipman, Stable ideals and Arf rings, Amer. J. Math., 93 (1971), 649-685.

12

J.C. Rosales, On numerical semigroups, Semigroup Forum, 52 (1996), 307-318.

13

J. C. Rosales and P. A. García-Sánchez, ``Finitely generated commutative monoids,'' Nova Science Publishers, New York, 1999.

14

J. M. Ruiz, Pythagorean real curve germs, J. Algebra, 94 (1985), 126-144.

15

B. Teissier, Appendice à ``Le probléme des modules pour le branches planes'', cours donné par O. Zariski au Centre de Math. de L'École Polytechnique, Paris (1973).

16

K. Watanabe, Some examples of one dimensional Gorenstein domains, Nagoya Math. J., 49 (1973), 101-109.