English

Block-diagonalization of matrices over local rings.II

Representation Theory 2014-11-25 v1 Commutative Algebra Rings and Algebras

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.

Keywords

Cite

@article{arxiv.1411.6489,
  title  = {Block-diagonalization of matrices over local rings.II},
  author = {Dmitry Kerner},
  journal= {arXiv preprint arXiv:1411.6489},
  year   = {2014}
}

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Preliminary brief announcement

R2 v1 2026-06-22T07:10:00.698Z