@article{article_1074557, title={New insight into quaternions and their matrices}, journal={Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics}, volume={72}, pages={43–58}, year={2023}, DOI={10.31801/cfsuasmas.1074557}, author={Şentürk, Gülsüm Yeliz and Gürses, Nurten and Yüce, Salim}, keywords={Generalized quaternion, generalized complex number, matrix representation, elliptic number.}, abstract={This paper aims to bring together quaternions and generalized complex numbers. Generalized quaternions with generalized complex number components are expressed and their algebraic structures are examined. Several matrix representations and computational results are introduced. An alternative approach for a generalized quaternion matrix with elliptic number entries has been developed as a crucial part.}, number={1}, publisher={Ankara University}