Comments on the height reducing property II

Shigeki Akiyama, Jörg M. Thuswaldner, Toufik Zaïmi

A complex number $\alpha$ is said to satisfy the height reducing property if there is a finite set $F\subset \mathbb{Z}$ such that $\mathbb{Z}[\alpha ]=F[\alpha ]$, where $\mathbb{Z}$ is the ring o…