Title: Polynomial mappings
First published: 1995
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.
Subjects: Mappings (Mathematics), Polynomials, Mathematics, Algebra, Global analysis (Mathematics), Number theory
LC classification: QA3 .L28 no. 1600, QA241 .L28 no. 1600