What is the characteristic of the ring of quaternionsSolutio

What is the characteristic of the ring of quaternions

Solution

Quaternions are a number system that extends to complex numbers

Thus quaternions will have not only real numbers but also complex numbers.

Normally the elements will be {-1,-i,-j,-k,1,i,j,k} with Cayley table as

Multiplicative identity is 1.

Additive identity =0

Characteristic is n such that

1+1+1+...+1 n times =0

(Since it is not possible to have as above, n is undefined.