© 1995

Polynomial Mappings

  • Authors

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


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.


Invariant Polya algebra arithmetic integral mapping polynomial ring sets variable

Bibliographic information

  • Book Title Polynomial Mappings
  • Authors Wladyslaw Narkiewicz
  • Series Title Lecture Notes in Mathematics
  • Series Abbreviated Title Lecture Notes in Mathematics
  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 1995
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Softcover ISBN 978-3-540-59435-2
  • eBook ISBN 978-3-540-49266-5
  • Series ISSN 0075-8434
  • Series E-ISSN 1617-9692
  • Edition Number 1
  • Number of Pages VIII, 140
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Number Theory
  • Buy this book on publisher's site
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