書誌事項

Polynomial mappings

Władysław Narkiewicz

(Lecture notes in mathematics, 1600)

Springer-Verlag, c1995

  • : us
  • : gw

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注記

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

内容説明・目次

内容説明

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.

目次

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

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