  We examine Lie (super)algebroids equipped with a homological section, i.e.,
an odd section that `self-commutes', we refer to such Lie algebroids as inner
Q-algebroids: these provide natural examples of suitably "superised"
Q-algebroids in the sense of Mehta. Such Lie algebroids are a natural
generalisation of Q-manifolds and Lie superalgebras equipped with a homological
element. Amongst other results, we show that, via the derived bracket
formalism, the space of sections of an inner Q-algebroid comes equipped with an
odd Loday-Leibniz bracket.
