ENGLISH

Polynomial Mappings

By Władysław Narkiewicz (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1995
ISBN
978-3-540-59435-2, 978-3-540-49266-5
DOI
10.1007/BFb0076894
Language
english
Format
PDF
Filesize
2 MB (2191380 bytes)
Series
Lecture Notes in Mathematics 1600
Edition
1
Pages
140\143
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Number Theory; Algebra; Analysis

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.

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