Polynomial Mappings
- ISBN-10
- 3540492666
- ISBN-13
- 9783540492665
- Category
- Mathematics
- Pages
- 144
- Language
- English
- Published
- 2006-11-14
- Publisher
- Springer
- Author
- Wladyslaw Narkiewicz
Description
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.
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