# Ring detail

## Name: Full linear ring of a countable dimensional right vector space

Description: Let $V$ be a countable dimensional right vector space over a division ring $D$. $R=End(V_D)$.

Notes: Has exactly three ideals: the nontrivial one is the set of transformations with finite dimensional range.

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: