Polynomial Mappings / Edition 1

by Wladyslaw Narkiewicz

Overview

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.

Product Details

ISBN-13:	9783540594352
Publisher:	Springer Berlin Heidelberg
Publication date:	07/18/1995
Series:	Lecture Notes in Mathematics , #1600
Edition description:	1995
Pages:	140
Product dimensions:	6.10(w) x 9.00(h) x 0.40(d)

Table of Contents

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