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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.
Autorius: | Wladyslaw Narkiewicz |
Serija: | Lecture Notes in Mathematics |
Leidėjas: | Springer Berlin Heidelberg |
Išleidimo metai: | 1995 |
Knygos puslapių skaičius: | 148 |
ISBN-10: | 3540594353 |
ISBN-13: | 9783540594352 |
Formatas: | 235 x 155 x 9 mm. Knyga minkštu viršeliu |
Kalba: | Anglų |
Parašykite atsiliepimą apie „Polynomial Mappings“