Publication: Similarity Classes of (3\times 3) Matrices over a Local Principal Ideal Ring
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Date
2009
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Taylor & Francis
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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.
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.
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Keywords
local ring, matrices, similarity
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