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

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 (US)
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 - Aug 2009

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1080/00927870902747266

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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.",

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year = "2009",

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AU - Avni, Nir

AU - Onn, Uri

AU - Prasad, Amritanshu

AU - Vaserstein, Leonid

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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.

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DO - 10.1080/00927870902747266

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JO - Communications in Algebra

JF - Communications in Algebra

IS - 8

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

Abstract

All Science Journal Classification (ASJC) codes

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