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.
General
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