# 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 $S/M$

Reference(s):

• (Citation needed)

• Legend
• = has the property
• = does not have the property
• = information not in database
Name Measure
composition length left: $\infty$right: $\infty$
weak global dimension 0
Name Description
Jacobson radical $\{0\}$