Front Matter

Pages I-VII

PDF
Rings of integral-valued polynomials
- Wŀadysŀaw Narkiewicz
Pages 1-66
Fully invariant sets for polynomial mappings
- Wŀadysŀaw Narkiewicz
Pages 67-109
Back Matter

Pages 110-136

PDF

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.

Keywords

Bibliographic Information

Book Title: Polynomial Mappings
Authors: Wŀadysŀaw Narkiewicz
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/BFb0076894
Publisher: Springer Berlin, Heidelberg
eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 1995
Softcover ISBN: 978-3-540-59435-2Published: 20 June 1995
eBook ISBN: 978-3-540-49266-5Published: 14 November 2006
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: VIII, 140
Topics: Number Theory, Algebra, Analysis

Publish with us

Policies and ethics

Authors:

Sections

Buy it now

Buying options

Other ways to access

Table of contents (2 chapters)

Front Matter

Rings of integral-valued polynomials

Fully invariant sets for polynomial mappings

Back Matter