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

Nir Avni; Uri Onn; Amritanshu Prasad; Leonid Vaserstein

doi:10.1080/00927870902747266

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

Nir Avni
, Uri Onn
, Amritanshu Prasad
, Leonid Vaserstein

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

18 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 language	English
Pages (from-to)	2601-2615
Number of pages	15
Journal	Communications in Algebra
Volume	37
Issue number	8
DOIs	https://doi.org/10.1080/00927870902747266
State	Published - 1 Aug 2009

Keywords

Local ring
Matrices
Similarity

ASJC Scopus subject areas

Algebra and Number Theory

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10.1080/00927870902747266

Cite this

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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",

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doi = "10.1080/00927870902747266",

language = "English",

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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

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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 - https://www.scopus.com/pages/publications/70449475341

U2 - 10.1080/00927870902747266

DO - 10.1080/00927870902747266

M3 - Article

AN - SCOPUS:70449475341

SN - 0092-7872

VL - 37

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EP - 2615

JO - Communications in Algebra

JF - Communications in Algebra

IS - 8

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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