# Ring detail

## Name: Simple, non-Artinian, von Neumann regular ring

Description: Let $S$ be the ring of linear transformations of a countable dimensional vector space over a field. This is known to have exactly one nontrivial ideal $M$. The ring is $S/M$

Notes:

Reference(s):

• (Citation needed)

• This ring has the following properties:
The ring lacks the following properties:
We don't know if the ring has or lacks the following properties: