Polynomial Mappings

  • Authors
  • Wŀadysŀaw Narkiewicz

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

Table of contents

  1. Front Matter
    Pages I-VII
  2. Wŀadysŀaw Narkiewicz
    Pages 1-66
  3. Wŀadysŀaw Narkiewicz
    Pages 67-109
  4. Back Matter
    Pages 110-136

About this book

Introduction

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.

Keywords

Invariant Polya algebra arithmetic integral mapping polynomial ring sets variable

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0076894
  • Copyright Information Springer-Verlag Berlin Heidelberg 1995
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-59435-2
  • Online ISBN 978-3-540-49266-5
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book