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Matrix Representation on Quaternion Algebra

Year 2014, Volume 2, 2014 , 1 - 7 , 26.05.2016
https://izlik.org/JA27ZG84CL

Abstract

The quaternions, denoted by H, were first defined by W.R. Hamilton in 1843 as an extension of the four dimensions complex numbers. Hamilton has included a new multiplication process to vector algebra by defining quaternions for two vectors where the division process is available. In this paper, basic operations on H/Zp quaternion and the matrix form which belong to H/Zp quaternion algebra are given

References

  • A. Adler, I.E. Coury. The Theory of Number, Jones and Barlett Puplishers, Boston,(1995).
  • O. P. Agrawal. Mechanizm and Machine Theory, Vol.22, Issue 6, p.569-675, (1987).
  • M Aristidou. A Note on Quaternion Rings, International Journal of Algebra, Vol.3, No.15, p.725-728, (2009).
  • H.H. Hacısaliho˘glu. Motion Geometry and Quaternions Theory, Gazi University Faculty of Arts and Science Publications, Math. No.2, Ankara, (1983).
  • I.N. Herstein. Topics in Algebra, 2nd Ed., Wiley, (1975).

Year 2014, Volume 2, 2014 , 1 - 7 , 26.05.2016
https://izlik.org/JA27ZG84CL

Abstract

References

  • A. Adler, I.E. Coury. The Theory of Number, Jones and Barlett Puplishers, Boston,(1995).
  • O. P. Agrawal. Mechanizm and Machine Theory, Vol.22, Issue 6, p.569-675, (1987).
  • M Aristidou. A Note on Quaternion Rings, International Journal of Algebra, Vol.3, No.15, p.725-728, (2009).
  • H.H. Hacısaliho˘glu. Motion Geometry and Quaternions Theory, Gazi University Faculty of Arts and Science Publications, Math. No.2, Ankara, (1983).
  • I.N. Herstein. Topics in Algebra, 2nd Ed., Wiley, (1975).
There are 5 citations in total.

Details

Other ID JA22TF44PK
Authors

Gülay Koru Yücekaya

Publication Date May 26, 2016
IZ https://izlik.org/JA27ZG84CL
Published in Issue Year 2014 Volume 2, 2014

Cite

APA Yücekaya, G. K. (2016). Matrix Representation on Quaternion Algebra. Turkish Journal of Mathematics and Computer Science, 2(1), 1-7. https://izlik.org/JA27ZG84CL
AMA 1.Yücekaya GK. Matrix Representation on Quaternion Algebra. TJMCS. 2016;2(1):1-7. https://izlik.org/JA27ZG84CL
Chicago Yücekaya, Gülay Koru. 2016. “Matrix Representation on Quaternion Algebra”. Turkish Journal of Mathematics and Computer Science 2 (1): 1-7. https://izlik.org/JA27ZG84CL.
EndNote Yücekaya GK (May 1, 2016) Matrix Representation on Quaternion Algebra. Turkish Journal of Mathematics and Computer Science 2 1 1–7.
IEEE [1]G. K. Yücekaya, “Matrix Representation on Quaternion Algebra”, TJMCS, vol. 2, no. 1, pp. 1–7, May 2016, [Online]. Available: https://izlik.org/JA27ZG84CL
ISNAD Yücekaya, Gülay Koru. “Matrix Representation on Quaternion Algebra”. Turkish Journal of Mathematics and Computer Science 2/1 (May 1, 2016): 1-7. https://izlik.org/JA27ZG84CL.
JAMA 1.Yücekaya GK. Matrix Representation on Quaternion Algebra. TJMCS. 2016;2:1–7.
MLA Yücekaya, Gülay Koru. “Matrix Representation on Quaternion Algebra”. Turkish Journal of Mathematics and Computer Science, vol. 2, no. 1, May 2016, pp. 1-7, https://izlik.org/JA27ZG84CL.
Vancouver 1.Gülay Koru Yücekaya. Matrix Representation on Quaternion Algebra. TJMCS [Internet]. 2016 May 1;2(1):1-7. Available from: https://izlik.org/JA27ZG84CL