# Ring detail

## Name: $T_2(F_2)$

Description: $2 \times 2$ ring of upper triangular matrices over the field of two elements.

Notes: Lattice of right ideals isomorphic to the $M_3$ diamond lattice

Keywords matrix ring

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: