Turkish Journal of Mathematics
Abstract
The purpose of this paper is to determine derivations of the algebra $H_{\alpha ,\beta }$ of generalized quaternions over the reals and hence to obtain the algebra $Der(H_{\alpha ,\beta })$ of derivations of $H_{\alpha ,\beta }$. Once we know derivations we might decompose $Der(H_{\alpha ,\beta })$ in terms of its inner and/or central derivations whenever they exist. Apart from $Der(H_{\alpha ,\beta })$ we would also be able to obtain generalized derivations, which have been studied by analysts in the context of algebras of some normed spaces, and of prime and semiprime rings.
DOI
10.3906/mat-1905-86
Keywords
Derivation, quaternion
First Page
2649
Last Page
2657
Recommended Citation
KIZIL, EYÜP and ALAGÖZ, YASEMİN
(2019)
"Derivations of generalized quaternion algebra,"
Turkish Journal of Mathematics: Vol. 43:
No.
5, Article 46.
https://doi.org/10.3906/mat-1905-86
Available at:
https://journals.tubitak.gov.tr/math/vol43/iss5/46
