TY - BOOK AU - Narkiewicz,Wŀadysŀaw ED - SpringerLink (Online service) TI - Polynomial Mappings T2 - Lecture Notes in Mathematics, SN - 9783540492665 AV - QA241-247.5 U1 - 512.7 23 PY - 1995/// CY - Berlin, Heidelberg PB - Springer Berlin Heidelberg KW - Mathematics KW - Algebra KW - Global analysis (Mathematics) KW - Number theory KW - Number Theory KW - Analysis N2 - 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 UR - http://dx.doi.org/10.1007/BFb0076894 ER -