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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.
Details
| Verlag | Springer Berlin |
| Ersterscheinung | 20. Juni 1995 |
| Maße | 23.5 cm x 15.5 cm |
| Gewicht | 236 Gramm |
| Format | Softcover |
| ISBN-13 | 9783540594352 |
| Seiten | 140 |
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