Ring $R_{ 24 }$

Reversible non-symmetric ring

Description:

Let $F$ be the field of two elements, $S=F\langle x,y,z\rangle$ and $R=S /I$ where $I=(SxS)^2+(SyS)^2+(SzS)^2 + SxyzS + SyzxS + SzxyS$

Notes: $13$ dimensional $F$ algebra.

Keywords quotient ring

Reference(s):

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


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