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 is called a (right) comodule morphism, or (right) C-colinear, if

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 is called a (right) comodule morphism, or (right) C-colinear, if