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A STUDY ON SEMI-QUATERNIONS ALGEBRA IN SEMI-EUCLIDEAN 4-SPACE

Year 2013, Volume: 1 Issue: 2, 20 - 27, 01.12.2013

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

Abstract

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
There are 12 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

Hamid Mortazaasl This is me

Mehdijafari This is me

Publication Date December 1, 2013
Submission Date March 9, 2015
Published in Issue Year 2013 Volume: 1 Issue: 2

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