Polynomial Mappings

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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.

Boekdetails

Serie: Lecture Notes in Mathematics
Ondertitel: Lecture Notes in Mathematics
Formaat: Paperback / softback
Uitgever: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Auteur: Wladyslaw Narkiewicz, Springer-Verlag Berlin and Heidelberg GmbH & Co. K, Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN-13: 9783540594352
Verschijningsdatum: 1995-06-20
Editie: 1995 ed.
Afmetingen: 155 mm × 235 mm
Land van herkomst: DE

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Polynomial Mappings

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