First We define involution map which is map
$*$ : $R \rightarrow R$ such that it satisfy
$ i)\ (a+b)^* = a^*+ b^*$ $ii)\ (ab)^* = b^*a^*$ $iii) (a^*)^* = a$
for $a,b$ in $R$.
Now $Z$ be center of ring $R$ now define Involution of first kind over $R$ where $R$ is division ring such that 
How to describe involution of second kind and what is the automorphism of order 2 here? Also I know that $Z/Z_0$ is galois quadratic extension but why it is quadratic and what is minimal polynomial associated with it?
