A note on elliptic biquaternions

In this study, firstly, we show that the multiplication of two elliptic biquaternions is commutative in which case. Afterwards, we give some properties of elliptic biquaternions relating to the semi-norm and the three types of conjugate. Finally, we present a special class of elliptic biquaternions: the idempotent elliptic biquaternions and give an example of idempotent elliptic biquaternions.