Buch, Englisch, Band 1600, 140 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 236 g
Reihe: Lecture Notes in Mathematics
Buch, Englisch, Band 1600, 140 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 236 g
Reihe: Lecture Notes in Mathematics
ISBN: 978-3-540-59435-2
Verlag: Springer Berlin Heidelberg
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.
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
Rings of integral-valued polynomials.- Fully invariant sets for polynomial mappings.