Mark each of the following true or false. ___ a. Let , E, where E

Mark each of the following true or false.
___ a. Let α, β ∈ E, where E ≤ F is a splitting field over F. Then there exists an automorphism of E leaving F fixed and mapping a onto β if and only if irr(α, F) = irr(β, F).
___ b. R is a splitting field over Q.
___c. R is a splitting field over R.
___d. C is a splitting field over R.
___ e. Q(i) is a splitting field over Q.
___ f. Q(π) is a splitting field over Q(π²).
___ g. For every splitting field E over F, where E ≤ F, every isomorphic mapping of E is an automorphism of E.
___ h. For every splitting field E over F, where E ≤ F, every isomorphism mapping E onto a subfield of F is an automorphism of E.
___ i. For every splitting field E over F, where E ≤ F, every isomorphism mapping E onto a subfield of F and leaving F fixed is an automorphism of E.
___j. Every algebraic closure F of a field F is a splitting field over F.