Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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FINITENESS OF COMMUTABLE MAPS OF BOUNDED DEGREE

  • Lee, Chong Gyu (Department of Mathematics Soongsil University) ;
  • Ye, Hexi (Department of Mathematics University of Toronto)
  • Received : 2012.07.15
  • Published : 2015.01.31
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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.

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References

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