# Ring detail

## Name: Reversible non-symmetric ring

Description: Let $F$ be the field of two elements, and $R=F\langle x,y,z\rangle /I$ where $I=(FxF)^2+(FyF)^2+(FzF)^2 + FxyzF + FyzxF + FzxyF$

Notes: $13$ dimensional $F$ algebra.

Keywords quotient ring

Reference(s):

• G. Marks. Reversible and symmetric rings. (2002) @ Example 5 p 315

Legend
• = has the property
• = does not have the property
• = information not in database
Name Measure
cardinality 8192
Krull dimension (classical) 0
Name Description
Idempotents $\{0,1\}$