Derivations of generalized quaternion algebra

Authors : Eyüp KIZIL, Yasemin ALAGÖZ

Pages : 2649-2657

View : 11 | Download : 5

Publication Date : 0000-00-00

Article Type : Research Paper

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 $Derinsert ignore into journalissuearticles values(H_{\alpha ,\beta });$ of derivations of $H_{\alpha ,\beta }$. Once we know derivations we might decompose $Derinsert ignore into journalissuearticles values(H_{\alpha ,\beta });$ in terms of its inner and/or central derivations whenever they exist. Apart from $Derinsert ignore into journalissuearticles values(H_{\alpha ,\beta });$ 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.
Keywords : Derivation, quaternion