Polynomial Mappings (Lecture Notes in Mathematics)

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.Narkiewicz, Wladyslaw is the author of 'Polynomial Mappings (Lecture Notes in Mathematics)' with ISBN 9780387594354 and ISBN 0387594353.