Originally Posted by

**crwtom** I am looking for an adjective for special elements in modules.

**Definition:** *Let $\displaystyle R$ be a ring and $\displaystyle M$ be an $\displaystyle R$-module. *

*We say that $\displaystyle v\in M$ is an ????? element if $\displaystyle v=rw$*

*with $\displaystyle w\in M$ and $\displaystyle r\in R$ implies that $\displaystyle r$ has to be a unit in $\displaystyle R$.*

What is the commonly used term ???? for this definition?

In the lattice case $\displaystyle R=\mathbb Z$ and $\displaystyle M=\mathbb Z^N$ these are often called

*primitive* vectors but this terminology does not seem to be common

for general rings and modules.

Thanks ---