Similarity Classes of \(3\times 3\) Matrices over a Local Principal Ideal Ring

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Similarity Classes of \(3\times 3\) Matrices over a Local Principal Ideal Ring

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Title: Similarity Classes of \(3\times 3\) Matrices over a Local Principal Ideal Ring
Author: Onn, Uri; Prasad, Amritanshu; Vaserstein, Leonid; Avni, Nir David

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Citation: Avni, Nir, Onn, Uri, Prasad, Amritanshu, and Leonid Vaserstein. 2009. Similarity classes of \(3\times 3\) matrices over a local principal ideal ring. Communications in Algebra 37(8): 2601-2615.
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Abstract: In this paper 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.
Published Version: doi://10.1080/00927870902747266
Terms of Use: This article is made available under the terms and conditions applicable to Open Access Policy Articles, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#OAP
Citable link to this page: http://nrs.harvard.edu/urn-3:HUL.InstRepos:5351574
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