Algebra of elliptical quaternions

G. Koru Yucekaya, F. Orman

Quaternions are defined by W.R. Hamilton in 1843. By defining a new product on the set of quaternions, Hamilton facilitated the study of motions in Euclidean space. In this study; algebraic structure of elliptical quaternions has been constructed on the field of real numbers and some properties of this kind of quaternions have been studied with the help of Hamilton matrices. 

Advanced Studies: Euro-Tbilisi Mathematical Journal, Vol. 16,  supplement issue 4 (2023), pp. 9-20