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

Symmetric properties

Asymmetric properties

Legend

- = has the property
- = does not have the property
- = information not in database

Name | Measure | |
---|---|---|

cardinality | 8192 | |

Krull dimension (classical) | 0 |

Name | Description |
---|---|

Idempotents | $\{0,1\}$ |