Polynomial mappings /
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...
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin ; New York :
Springer,
[1995]
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| Series: | Lecture notes in mathematics (Springer-Verlag) ;
1600. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (130 pages) : illustrations. |
| Bibliography: | Includes bibliographical references (pages [112]-123) and index. |
| ISBN: | 9783540492665 (electronic bk.) 3540492666 (electronic bk.) |
| ISSN: | 0075-8434 ; |