doi:10.24330/ieja.1058426deuGrau, Jose MariaMiguel, CelinoOller-Marcén, Antonio M.Counting non-isomorphic generalized Hamilton quaternionsART-2022-127940In this paper we study the isomorphisms of generalized Hamilton quaternions (a,b/R) where R is a finite unital commutative ring of odd characteristic and a,b∈R. We obtain the number of non-isomorphic classes of generalized Hamilton quaternions in the case where R is a principal ideal ring. This extends the case R=Z/nZ where n is an odd integer.2022http://zaguan.unizar.es/record/11239210.24330/ieja.1058426http://zaguan.unizar.es/record/112392oai:zaguan.unizar.es:112392International Electronic Journal of Algebra 31 (2022), 143-160byhttp://creativecommons.org/licenses/by/3.0/es/info:eu-repo/semantics/openAccess