# Ring detail

## Name: Reversible non-symmetric ring

Description: For field $k$, $k\langle x,y,z\rangle /I$ where $I=(FxF)^2+(FyF)^2+(FzF)^2 + FxyzF + FyzxF + FzxyF$

Notes: $13$ dimensional $k$ algebra.

Keywords quotient ring

Reference(s):

• Greg Marks, Reversible And Symmetric Rings, Journal Of Pure And Applied Algebra Volume 174, Issue 3, Pp 311–318, (2002). Example 5 P 315

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: