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Matrix Representation on Quaternion Algebra

Year 2014, Volume 2, 2014, 1 - 7, 26.05.2016

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

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
Journal Section Articles
Authors

Gülay Koru Yücekaya

Publication Date May 26, 2016
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.
AMA Yücekaya GK. Matrix Representation on Quaternion Algebra. TJMCS. May 2016;2(1):1-7.
Chicago Yücekaya, Gülay Koru. “Matrix Representation on Quaternion Algebra”. Turkish Journal of Mathematics and Computer Science 2, no. 1 (May 2016): 1-7.
EndNote Yücekaya GK (May 1, 2016) Matrix Representation on Quaternion Algebra. Turkish Journal of Mathematics and Computer Science 2 1 1–7.
IEEE G. K. Yücekaya, “Matrix Representation on Quaternion Algebra”, TJMCS, vol. 2, no. 1, pp. 1–7, 2016.
ISNAD Yücekaya, Gülay Koru. “Matrix Representation on Quaternion Algebra”. Turkish Journal of Mathematics and Computer Science 2/1 (May 2016), 1-7.
JAMA 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, 2016, pp. 1-7.
Vancouver Yücekaya GK. Matrix Representation on Quaternion Algebra. TJMCS. 2016;2(1):1-7.