Polynomial Mappings - Wladyslaw Narkiewicz
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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 variabl ... Full description
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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.
More Information
| Author | Wladyslaw Narkiewicz |
|---|---|
| Publisher | Springer Berlin Heidelberg |
| Series | Lecture Notes in Mathematics |
| Release year | 1995 |
| Cover type | Softcover |
| EAN | 9783540594352 |