Block-diagonalization of matrices over local rings.II

Abstract

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.

Preliminary brief announcement

Cited by in corpus (1)

• Homomorphisms with semilocal endomorphism rings between modules