References
Bayer, V., Semigroup of two irreducible algebroid plane curves. Manuscripta math.49 (1985), 207–241
Campillo, A., Algebroid curves in positive characteristic. Lecture Notes in Mathematics 813. Springer Verlag, Berlin-Heidelberg 1980
Garcia, A., Semigroups associated to singular points of plane curves. J. Reine Angew. Math.336 (1982), 165–184
Delgado de la Mata, F., Gorenstein Curves and symmetry of the semigroup of values. Manuscripta math.61 (1988), 285–296
Delgado de la Mata, F., The semigroup of values of a curve singularity with several branches. Manuscripta math.59 (1987), 347–374
Gorenstein, D., An arithmetic theory of adjoint plane curves. Trans. Amer. Math. Soc.72 (1952), 414–436
Gräter, J., Der Approximationssatz für Manisbewertungen. Arch. Math.37 (1981), 335–340.
E. Griffin, Valuations and Prüfer rings. Canad. J. Math.26 (1974), 412–429
Herzog, J., und Kunz, E., Der kanonische Modul eines Cohen-Macaulay-Rings. Lecture Notes in Mathematics 238, Springer Verlag, Berlin-Heidelberg 1971
Huckaba, J. A., Commutative rings with zero divisors. Marcel Dekker, New York and Basel 1988
Kunz, E., The value-semigroup of a one-dimensional Gorenstein ring. Proc. Amer. Math. Soc.25 (1970), 748–751
Larsen, M. D., and McCarthy, P. J., Multiplicative theory of ideals. Academic Press, New York and London 1971.
Marot, J., Anneaux de valuations. Manuscript, 1973
Matlis, E., One-dimensional Cohen-Macaulay-rings. Lecture Notes in Mathematics 327. Springer Verlag, Berlin-Heidelberg 1973
Orbanz, U., Valuation semigroups and closed components. Comm. Algebra7 (1979), 1181–1198
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Supported by Acciones Integradas and DAAD. The authors thank the Universities of Paderborn and Valladolid for their hospitality.
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Campillo, A., Delgado, F. & Kiyek, K. Gorenstein property and symmetry for one-dimensional local Cohen-Macaulay rings. Manuscripta Math 83, 405–423 (1994). https://doi.org/10.1007/BF02567623
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DOI: https://doi.org/10.1007/BF02567623