Block-diagonalization of matrices over local rings.II
  Consider rectangular matrices over a local ring R. In the previous work we have obtained criteria for block-diagonalization of such matrices, i.e. U A V=A_1\oplus A_2, where U,V are invertible matrices over R. In this short note we extend the criteria to the decomposability of quiver representations over R. 
Dmitry Kerner
math.RT math.AC math.RA