000112392 001__ 112392 000112392 005__ 20230914083331.0 000112392 0247_ $$2doi$$a10.24330/ieja.1058426 000112392 0248_ $$2sideral$$a127940 000112392 037__ $$aART-2022-127940 000112392 041__ $$adeu 000112392 100__ $$aGrau, Jose Maria 000112392 245__ $$aCounting non-isomorphic generalized Hamilton quaternions 000112392 260__ $$c2022 000112392 5060_ $$aAccess copy available to the general public$$fUnrestricted 000112392 5203_ $$aIn 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. 000112392 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/ 000112392 592__ $$a0.443$$b2022 000112392 593__ $$aAlgebra and Number Theory$$c2022$$dQ2 000112392 594__ $$a0.7$$b2022 000112392 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000112392 700__ $$aMiguel, Celino 000112392 700__ $$0(orcid)0000-0002-8191-3199$$aOller-Marcén, Antonio M. 000112392 773__ $$g31 (2022), 143-160$$tInternational Electronic Journal of Algebra$$x1306-6048 000112392 8564_ $$s311990$$uhttps://zaguan.unizar.es/record/112392/files/texto_completo.pdf$$yVersión publicada 000112392 8564_ $$s1253734$$uhttps://zaguan.unizar.es/record/112392/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000112392 909CO $$ooai:zaguan.unizar.es:112392$$particulos$$pdriver 000112392 951__ $$a2023-09-13-11:14:15 000112392 980__ $$aARTICLE