Hereditary coalgebras and representations of species

In this case, we show that C is isomorphic to the (co)tensor coalgebra TF□(M) associated to the Ext-species of C, where F is the direct sum of the division algebras Fj=EndCS(j), M=⊕i,j∈ICMji, and Mji=HomFi(ExtC1(S(i),S(j)),Fi). We also describe the Auslander-Reiten quiver Γ(C-comod) and the structure of the category C-comod of left C-comodules of finite dimension.