Polynomial Mappings
| Author | : Wladyslaw Narkiewicz |
| Publisher | : Springer |
| Total Pages | : 144 |
| Release | : 2006-11-14 |
| ISBN-13 | : 9783540492665 |
| ISBN-10 | : 3540492666 |
| Rating | : 4/5 (66 Downloads) |
Download or read book Polynomial Mappings written by Wladyslaw Narkiewicz and published by Springer. This book was released on 2006-11-14 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
