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Polynomial Mappings

Polynomial Mappings

Paperback

Series: Lecture Notes in Mathematics, Book 1600

AlgebraGeneral Mathematics

ISBN10: 3540594353
ISBN13: 9783540594352
Publisher: Springer
Published: Jun 20 1995
Pages: 140
Weight: 0.48
Height: 0.32 Width: 6.14 Depth: 9.21
Language: English
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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Algebra