112392 20230914083331.0 doi 10.24330/ieja.1058426 sideral 127940 ART-2022-127940 deu Grau, Jose Maria Counting non-isomorphic generalized Hamilton quaternions 2022 Access copy available to the general public Unrestricted In 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. info:eu-repo/semantics/openAccess by http://creativecommons.org/licenses/by/3.0/es/ 0.443 2022 Algebra and Number Theory 2022 Q2 0.7 2022 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Miguel, Celino Oller-Marcén, Antonio M. (orcid)0000-0002-8191-3199 31 (2022), 143-160 International Electronic Journal of Algebra 1306-6048 311990 http://zaguan.unizar.es/record/112392/files/texto_completo.pdf Versión publicada 1253734 http://zaguan.unizar.es/record/112392/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:112392 articulos driver 2023-09-13-11:14:15 ARTICLE