Polynomial mappings
著者
書誌事項
Polynomial mappings
(Lecture notes in mathematics, 1600)
Springer-Verlag, c1995
- : us
- : gw
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注記
Includes bibliographical references (p. [112]-123) and index
内容説明・目次
内容説明
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.
目次
Rings of integral-valued polynomials.- Fully invariant sets for polynomial mappings.
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