Bibliographic Information

Polynomial mappings

Władysław Narkiewicz

(Lecture notes in mathematics, 1600)

Springer-Verlag, c1995

  • : us
  • : gw

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Note

Includes bibliographical references (p. [112]-123) and index

Description and Table of Contents

Description

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.

Table of Contents

Rings of integral-valued polynomials.- Fully invariant sets for polynomial mappings.

by "Nielsen BookData"

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