Is "cyclic endomorphism" a proper English mathematical wording? Consider a vector space $V$ of finite dimension equal to $n$ and an endomorphism $u$ of $V$. In French, an endomorphism $u$ for which it exists a vector $v$ such that $\{v, u(v), \dots, u^{n-1}(u)\}$ spans $V$ is called an endomorphisme cyclique.
It seems that in English $v$ is called a cyclic vector for $u$, but I'm not sure that the wording $u$ is a cyclic endomorphism exists.
What's your view on the question?

Won’t use cyclic endomorphism in writing without defining it as it seems not commonly used.
