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 journalArticle

13 Citations (Scopus)

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

Fingerprint

Ring
Commutative Ring
Generating Function
Quotient
Similarity
Class

Keywords

  • Local ring
  • Matrices
  • Similarity

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

Avni, Nir ; Onn, Uri ; Prasad, Amritanshu ; Vaserstein, Leonid. / Similarity classes of 3 × 3 matrices over a local principal ideal ring. In: Communications in Algebra. 2009 ; Vol. 37, No. 8. pp. 2601-2615.
@article{7f9331c361114fcebf72f0eeec7fd5b4,
title = "Similarity classes of 3 × 3 matrices over a local principal ideal ring",
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.",
keywords = "Local ring, Matrices, Similarity",
author = "Nir Avni and Uri Onn and Amritanshu Prasad and Leonid Vaserstein",
year = "2009",
month = "8",
day = "1",
doi = "10.1080/00927870902747266",
language = "English (US)",
volume = "37",
pages = "2601--2615",
journal = "Communications in Algebra",
issn = "0092-7872",
publisher = "Taylor and Francis Ltd.",
number = "8",

}

Similarity classes of 3 × 3 matrices over a local principal ideal ring. / Avni, Nir; Onn, Uri; Prasad, Amritanshu; Vaserstein, Leonid.

In: Communications in Algebra, Vol. 37, No. 8, 01.08.2009, p. 2601-2615.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Similarity classes of 3 × 3 matrices over a local principal ideal ring

AU - Avni, Nir

AU - Onn, Uri

AU - Prasad, Amritanshu

AU - Vaserstein, Leonid

PY - 2009/8/1

Y1 - 2009/8/1

N2 - 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.

AB - 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.

KW - Local ring

KW - Matrices

KW - Similarity

UR - http://www.scopus.com/inward/record.url?scp=70449475341&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=70449475341&partnerID=8YFLogxK

U2 - 10.1080/00927870902747266

DO - 10.1080/00927870902747266

M3 - Article

VL - 37

SP - 2601

EP - 2615

JO - Communications in Algebra

JF - Communications in Algebra

SN - 0092-7872

IS - 8

ER -