  We study the effects of strangeness on the quark sector of a hybrid star
equation of state. Since the model we use to describe quarks is the same as the
one we use to describe hadrons, we can also study the effects of strangeness on
the chiral symmetry restoration and deconfinement phase transitions (first
order or crossover). Finally, we analyze combined effects of hyperons and
quarks on global properties of hybrid stars, like mass, radius and cooling
profiles. It is found that a large amount of strangeness in the core is related
to the generation of twin-star solutions, which can have the same mass as the
lower or zero strangeness counterpart, but with smaller radii.
