Quiver Quantum Semigroups And Monoidal Categories

In the first part of this paper, we prove that any quiver is a bialgebra quiver. In addition, we compute the structure of noncommunicative coquasitriangular bialgebra of some Dynkin quivers. In the second part of the paper, we give the rules how the tensor product of two representations of Kronecker algebra decomposes.