It is simply the forgetful functor that forgets about the structure of families.
Therefore, filtered colimits of 'classical' algebras are created by the forgetful functor.
They know that some of the informants may be forgetful, mistaken, dishonest, or motivated by a desire for publicity or even revenge.
In general, a structure is called free when it is left-adjoint to a forgetful functor.
He could hardly walk and became forgetful, confused and incontinent.
Forgetful but not forgotten: assessment by a specialist service.
There is a 'forgetful functor' from bihaviours to behaviours, which commutes with all connectives so far defined.
Since in the practical cases is a forgetful functor from complicated structures to simpler ones, one can find weak inclusion systems for the complicated structures.
