Colinear map

In coalgebra theory, the notion of a colinear map is dual to the notion of a linear map between vector spaces, or more generally, of a homomorphism between "R"-modules. Specifically, let "R" be a ring, "M", "N", and "C" be "R"-modules, and
be right "C"-comodules. Then an "R"-linear map formula_2 is called a (right) comodule morphism, or (right) C-colinear, if