Definition of fulls:
(adj) :
Containing the maximum possible amount that can fit in the space available.
(adj) :
Complete; with nothing omitted.
(adj) :
(category theory, of a functor between locally small categories) Surjective as a map of morphisms
(adj) :
(category theory, of a subcategory S of C) Including all morphisms. Formally: Such that for every pairs of objects (X, Y) in S, the hom-sets operatorname Hom_S(X,Y) and operatorname Hom_C(X,Y) are equal.
(adj) :
Total, entire.
(adj) :
Completely empowered, authorized or qualified (in some role); not limited.