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Narkiewicz, Wŀadysŀaw.

Polynomial Mappings [electronic resource] / by Wŀadysŀaw Narkiewicz. - Berlin, Heidelberg : Springer Berlin Heidelberg, 1995. - VIII, 140 p. online resource. - Lecture Notes in Mathematics, 1600 0075-8434 ; . - Lecture Notes in Mathematics, 1600 .

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.

ISBN: 9783540492665

Standard No.: 10.1007/BFb0076894 doi

Subjects--Topical Terms:
Mathematics.
Algebra.
Global analysis (Mathematics).
Number theory.
Mathematics.
Number Theory.
Algebra.
Analysis.

LC Class. No.: QA241-247.5

Dewey Class. No.: 512.7