Counting non-isomorphic generalized Hamilton quaternions

Grau, Jose Maria ; Miguel, Celino ; Oller-Marcén, Antonio M.

Resumen: 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.

Idioma: Alemán

DOI: 10.24330/ieja.1058426

Año: 2022

Publicado en: International Electronic Journal of Algebra 31 (2022), 143-160
ISSN: 1306-6048

Factor impacto CITESCORE: 0.7 - Mathematics (Q4)

Factor impacto SCIMAGO: 0.443 - Algebra and Number Theory (Q2)

Tipo y forma: Article (Published version)