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Polynomial Mappings

  • Book
  • © 1995

Overview

Part of the book series: Lecture Notes in Mathematics (LNM, volume 1600)

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Table of contents (2 chapters)

Keywords

About this book

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.

Bibliographic Information

  • Book Title: Polynomial Mappings

  • Authors: Wŀadysŀaw Narkiewicz

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0076894

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1995

  • Softcover ISBN: 978-3-540-59435-2Published: 20 June 1995

  • eBook ISBN: 978-3-540-49266-5Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VIII, 140

  • Topics: Number Theory, Algebra, Analysis

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