Thread: Terminology for elements in modules

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

Definition: Let be a ring and be an -module.
We say that is an ????? element if
with and implies that has to be a unit in .

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

In the lattice case and these are often called
primitive vectors but this terminology does not seem to be common
for general rings and modules.


Thanks ---

Originally Posted by crwtom

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

Definition: Let be a ring and be an -module.
We say that is an ????? element if
with and implies that has to be a unit in .

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

In the lattice case and these are often called
primitive vectors but this terminology does not seem to be common
for general rings and modules.


Thanks ---

why is the terminology important here? if you have a "math" question related to this, you can ask.