[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2015.52.1.045

FINITENESS OF COMMUTABLE MAPS OF BOUNDED DEGREE

Lee, Chong Gyu (Department of Mathematics Soongsil University)
Ye, Hexi (Department of Mathematics University of Toronto)

Publication Information

Bulletin of the Korean Mathematical Society / v.52, no.1, 2015 , pp. 45-56 More about this Journal

Abstract

In this paper, we study the relation between two dynamical systems (V, f) and (V, g) with $f{\circ}g=g{\circ}f$ . As an application, we show that an endomorphism (respectively a polynomial map with Zariski dense, of bounded Preper(f)) has only finitely many endomorphisms (respectively polynomial maps) of bounded degree which are commutable with f.

Keywords

height; preperiodic point; endomorphism; polynomial map; dynamical system; commutable maps;

Citations & Related Records

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