Paperback. This text deals with certain algebraic and arithmetical questions concerning polynomial mappings in one or several variables. Algebraic propeties 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, for example 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 also contains several exercises and a list of open problems. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

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Titel: Polynomial Mappings (Paperback)
Verlag: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Berlin
Erscheinungsjahr: 1995
Sprache: Englisch
ISBN-10: 3540594353
ISBN-13: 9783540594352
Einband: Paperback
Zustand: new

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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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