  It is proved the existence of large algebraic structures \break --including
large vector subspaces or infinitely generated free algebras-- inside, among
others, the family of Lebesgue measurable functions that are surjective in a
strong sense, the family of nonconstant differentiable real functions vanishing
on dense sets, and the family of non-continuous separately continuous real
functions. Lineability in special spaces of sequences is also investigated.
Some of our findings complete or extend a number of results by several authors.

Functional Analysis