Ring detail


Name: Lipschitz quaternions

Description: $\left\{a+bi+cj+dk \in \mathbb{H} \mid a,b,c,d \in \mathbb{Z} \right\}$

Notes: Not a maximal order in the rational quaternions.

Keywords quaternion algebra subring

Reference(s):

  • (Citation needed)


  • Legend
    • = has the property
    • = does not have the property
    • = information not in database
    Name Measure
    cardinality $\aleph_0$
    composition length left: $\infty$right: $\infty$
    Name Description
    Idempotents $\{0,1\}$
    Nilpotents $\{0\}$
    Zero divisors $\{0\}$