Author | Narkiewicz, Wล{128}adysล{128}aw. author |
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Title | Polynomial Mappings [electronic resource] / by Wล{128}adysล{128}aw Narkiewicz |

Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1995 |

Connect to | http://dx.doi.org/10.1007/BFb0076894 |

Descript | VIII, 140 p. online resource |

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

Mathematics
Algebra
Mathematical analysis
Analysis (Mathematics)
Number theory
Mathematics
Number Theory
Algebra
Analysis