  The paper concerns two versions of the notion of real forms of Lie
superalgebras. One is the standard approach, where a real form of a complex Lie
superalgebra is a real Lie superalgebra such that its complexification is the
original complex Lie superalgebra. The second is related to considering
$A$-points of a Lie superalgebra over a commutative complex superalgebra $A$
equipped with superconjugation. It is not difficult to see that the first real
form can be obtained as the set of fixed points of an antilinear involutive
automorphism and the second is related to an automorphism $\phi$ such that
$\phi^{2}$ is identity on even part and negative identity on the odd part. The
generalized notion of the real form is subsequently introduced also for complex
algebraic supergroups.
