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Englisch
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Beschreibung
The book deals with certain algebraic and arithmetical questions concerning polynomial mappings in one or several variables. Algebraic properties of the ring Int(R) of polynomials mapping a given ring R into itself are presented in the first part, starting with classical results of Polya, Ostrowski and Skolem. The second part deals with fully invariant sets of polynomial mappings F in one or several variables, i.e. sets X satisfying F(X)=X . This includes in particular a study of cyclic points of such mappings in the case of rings of algebrai integers. The text contains several exercises and a list of open problems.
The book deals with certain algebraic and arithmetical questions concerning polynomial mappings in one or several variables. Algebraic properties of the ring Int(R) of polynomials mapping a given ring R into itself are presented in the first part, starting with classical results of Polya, Ostrowski and Skolem. The second part deals with fully invariant sets of polynomial mappings F in one or several variables, i.e. sets X satisfying F(X)=X . This includes in particular a study of cyclic points of such mappings in the case of rings of algebrai integers. The text contains several exercises and a list of open problems.
Inhaltsverzeichnis
Rings of integral-valued polynomials.- Fully invariant sets for polynomial mappings.
Details
| Erscheinungsjahr: | 1995 |
|---|---|
| Fachbereich: | Arithmetik & Algebra |
| Genre: | Mathematik, Medizin, Naturwissenschaften, Technik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Reihe: | Lecture Notes in Mathematics |
| Inhalt: | Einband - flex.(Paperback) |
| ISBN-13: | 9783540594352 |
| ISBN-10: | 3540594353 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: | Narkiewicz, Wladyslaw |
| Hersteller: |
Springer
Springer Spektrum Springer-Verlag GmbH Lecture Notes in Mathematics |
| Verantwortliche Person für die EU: | Springer Nature Customer Service Center GmbH, Europaplatz 3, D-69115 Heidelberg, productsafety@springernature.com |
| Maße: | 235 x 155 x 9 mm |
| Von/Mit: | Wladyslaw Narkiewicz |
| Erscheinungsdatum: | 20.06.1995 |
| Gewicht: | 0,236 kg |