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Vol 14 No 3 (2020): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Articles

FIELD FORMATION OF CIRCULANT MATRIX

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  • Mahfudz Reza Fahlevi
Mahfudz Reza Fahlevi
SMA Al-Maahira IIBS Malang
DOI: https://doi.org/10.30598/barekengvol14iss3pp473-480
Published October 12, 2020
Keywords
  • Circulant matrix,
  • Field axioms
How to Cite
[1]
M. Fahlevi, “FIELD FORMATION OF CIRCULANT MATRIX”, BAREKENG: J. Math. & App., vol. 14, no. 3, pp. 473-480, Oct. 2020.
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Abstract

The axioms of fields satisfy over sets of numbers such as , , and . Generally, a set matrix is not commutative for binary multiplication properties, such that cannot satisfy of field axioms. In this paper we will discuss the circulant matrix set  which satisfies the commutative properties of multiplication, then it will be shown that the definition of a field is satisfied by the circulant matrix . This can provide a new perspective on a field formed by matrix.

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References

  1. Anton H. and Rorres C., Elementary Linear Algebra 9th Edition, USA. John Wiley & Sons, 2005
  2. Brown J. W. and Churchill R. V., Complex Variables and Aplication, New York. McGraw Hill, 2009.
  3. Cleghorn C. S., “Application of Generalized Inverses and Circulant Matrix to Iterated Functions on Integersâ€. Journal of Rose-Hulman Undergraduate Mathematics Vol. 2, Iss. 2, Article 3. USA: Texas. 2001
  4. Davis P. J., Ciculant Matrix, Canada. John Wiley & Sons, 1979.
  5. Jitman S., “Vector-Circulant Matrix over Finite Fields and Related Codesâ€. Journal of Rings and Algebras Vol I, New York. Cornell University, 2014.
  6. Pop V. and Furdui O., Square Matrix of Order 2 Theory Applications and Problems, New York. Springer, 2017.
  7. Gilbert L. and Gilbert J., Elements of Modern Algebra, Stamford USA. Cengage Learning, 2015.
  8. Goldberg J. L., Matrix Theory with Aplication, USA. McGraw-Hill.1991.
  9. Jones A. W., Circulants, Pennsylvania. Carlisle, 2008.
  10. Kra I. and Simanca S. R., “On Circulant Matrixâ€. Siam Rev., 59: 368-377. DOI: 10.1090/noti804, 2012.
  11. Poole D., Linear Algebra A Modern Introduction Second Edition, USA. Thomson, 2006.
  12. Zhang F. Matrix Theory Basic Result and Techiques, New York. Springer, 2010.