# Similarity Classes of $$3\times 3$$ Matrices over a Local Principal Ideal Ring

 Title: Similarity Classes of $$3\times 3$$ Matrices over a Local Principal Ideal Ring Author: Onn, Uri; Prasad, Amritanshu; Vaserstein, Leonid; Avni, Nir David Note: Order does not necessarily reflect citation order of authors. 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. Full Text & Related Files: 0708.1608v2.pdf (198.0Kb; PDF) 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 Downloads of this work: