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Some Algebraic and Analytical Properties of Coquaternion Algebra

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Advances in Applied Clifford Algebras Aims and scope Submit manuscript


The aim of this work is to prove some basic properties of coquaternions and to find the zeros of polynomials involving coquaternionic elements. We also provide some expansions of hyperholomorphic function on coquaternion algebra by using Fueter polynomials.

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Correspondence to Anatoliy A. Pogoruy.

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This work was completed with the support of the State Fund to Fundamental researches of Ukraine, Project No. 25, 1/084, and the Chair on Telecommunications at Tecnológico de Monterrey.

Received: January 7, 2008. Accepted: August 06, 2008.

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Pogoruy, A.A., Rodríguez-Dagnino, R.M. Some Algebraic and Analytical Properties of Coquaternion Algebra. AACA 20, 79–84 (2010).

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Mathematics Subject Classification (2000).