Valuation ideals with zero divisors.
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Charles H. Brase (1973)
Journal für die reine und angewandte Mathematik
Joseph L. Zemmer (1973)
Mathematische Zeitschrift
P. Ribenboim (1976)
Journal für die reine und angewandte Mathematik
David F. Anderson, Jack Ohm (1981)
Mathematische Annalen
Michel Lazard (1962/1963)
Séminaire Dubreil. Algèbre et théorie des nombres
Marc Krasner (1969/1970)
Séminaire Delange-Pisot-Poitou. Théorie des nombres
Paul Jaffard (1959/1960)
Séminaire Dubreil. Algèbre et théorie des nombres
Francisco Javier Herrera Govantes, Miguel Angel Olalla Acosta, José Luis Vicente Córdoba (2003)
Revista Matemática Iberoamericana
This paper deals with valuations of fields of formal meromorphic functions and their residue fields. We explicitly describe the residue fields of the monomial valuations. We also classify all the discrete rank one valuations of fields of power series in two and three variables, according to their residue fields. We prove that all our cases are possible and give explicit constructions.
Zaharescu, A., Zaki, M. (2009)
Acta Mathematica Universitatis Comenianae. New Series
Bernd Ulrich (1987)
Mathematische Zeitschrift
Roger Wiegand, Sylvia Wiegand (1972)
Mathematische Zeitschrift
L. Szpiro (1972)
Publications mathématiques et informatique de Rennes
Charles H. Brase (1974)
Journal für die reine und angewandte Mathematik
Gilles Christol (1975/1976)
Groupe de travail d'analyse ultramétrique
V. Srinivas (1982)
Compositio Mathematica
Richard G. Swan, Pavaman Murthy (1976)
Inventiones mathematicae
Malikov, Fyodor (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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