Similarity classes of 3 × 3 matrices over a local principal ideal ring

Nir Avni, Uri Onn*, Amritanshu Prasad, Leonid Vaserstein

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

14 Scopus citations

Abstract

In this article similarity classes of three by three matrices over a local principal ideal commutative ring are analyzed. When the residue field is finite, a generating function for the number of similarity classes for all finite quotients of the ring is computed explicitly.

Original languageEnglish (US)
Pages (from-to)2601-2615
Number of pages15
JournalCommunications in Algebra
Volume37
Issue number8
DOIs
StatePublished - Aug 1 2009

Keywords

  • Local ring
  • Matrices
  • Similarity

ASJC Scopus subject areas

  • Algebra and Number Theory

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