A STUDY ON SEMI-QUATERNIONS ALGEBRA IN SEMI-EUCLIDEAN 4-SPACE
Year 2013 ,
Volume: 1 Issue: 2, 20 - 27, 01.12.2013
Hamid Mortazaasl
Mehdijafari
Abstract
The aim of this paper is to study the semi-quaternions, and togive some of their basic properties. We express De Moivre’s formula for semiquaternions and find roots of a semi-quaternion using this formula
References
Cho E., De-Moivre formula for quaternions, Appl. Math. Lett., Vol. 11, No.6 (1998)33-35.
Dyachkova M., On Hopf bundle analogue for semiquaternion algebra, 10thInternational Conference DGA, Olomouc, Czech Republic, 2007.
Kabadayi H., Yayli Y., De Moivre’s Formula for Dual Quaternions, Kuwait J. of Sci. & Tech., Vol. 38, No.1 (2011)15-23
Ozdemir M., The roots of a split quaternion, Appl. Math. Lett. 22(2009) 258-263.
Rosenfeld B., Geometry of Lie groups, Kluwer Academic Publishers, Netherlands,1997.
Ward J.P., Quaternions and Cayley algebra and applications, Kluwer Academic Publishers, Dordrecht, 1996.
Whittlesey J., Whittlesey K., Some Geometrical Generalizations of Euler’s Formula, Int. J. Of math. Edu. in Sci. & Tech., 21(3) (1990) 461-468.
Widdows D., Quaternion algebra geometry, Ph.D thesis, St Anne’s college, Oxford, 2000.
Department of Mathematics, Islamic Azad University, Shabestar Branch, Shabestar, Iran.
E-mail address: h mortazaasl@yahoo.com
Sama Technical and Vocational Training College,Islamic Azad University, Urmia
Branch, Urmia, Iran. E-mail address: mjafari@science.ankara.edu.tr
Year 2013 ,
Volume: 1 Issue: 2, 20 - 27, 01.12.2013
Hamid Mortazaasl
Mehdijafari
References
Cho E., De-Moivre formula for quaternions, Appl. Math. Lett., Vol. 11, No.6 (1998)33-35.
Dyachkova M., On Hopf bundle analogue for semiquaternion algebra, 10thInternational Conference DGA, Olomouc, Czech Republic, 2007.
Kabadayi H., Yayli Y., De Moivre’s Formula for Dual Quaternions, Kuwait J. of Sci. & Tech., Vol. 38, No.1 (2011)15-23
Ozdemir M., The roots of a split quaternion, Appl. Math. Lett. 22(2009) 258-263.
Rosenfeld B., Geometry of Lie groups, Kluwer Academic Publishers, Netherlands,1997.
Ward J.P., Quaternions and Cayley algebra and applications, Kluwer Academic Publishers, Dordrecht, 1996.
Whittlesey J., Whittlesey K., Some Geometrical Generalizations of Euler’s Formula, Int. J. Of math. Edu. in Sci. & Tech., 21(3) (1990) 461-468.
Widdows D., Quaternion algebra geometry, Ph.D thesis, St Anne’s college, Oxford, 2000.
Department of Mathematics, Islamic Azad University, Shabestar Branch, Shabestar, Iran.
E-mail address: h mortazaasl@yahoo.com
Sama Technical and Vocational Training College,Islamic Azad University, Urmia
Branch, Urmia, Iran. E-mail address: mjafari@science.ankara.edu.tr
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