1.

Record Nr.

UNISA996466672403316

Autore

Narkiewicz Władysław

Titolo

Polynomial mappings / / Władysław Narkiewicz

Pubbl/distr/stampa

Berlin : , : Springer, , [1995]

©1995

ISBN

3-540-49266-6

Edizione

[1st ed. 1995.]

Descrizione fisica

1 online resource (VIII, 140 p.)

Collana

Lecture notes in mathematics (Springer-Verlag) ; ; 1600

Classificazione

11C08

Disciplina

511.33

Soggetti

Mappings (Mathematics)

Polynomials

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Sommario/riassunto

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.