Avni, Nir DavidOnn, UriPrasad, AmritanshuVaserstein, Leonid2011-11-222009Avni, 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): 2601-2615.0092-78721532-4125http://nrs.harvard.edu/urn-3:HUL.InstRepos:5351574In 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.en-USlocal ringmatricessimilaritySimilarity Classes of \(3\times 3\) Matrices over a Local Principal Ideal RingJournal Article2011-11-2210.1080/00927870902747266