DOI QR코드

DOI QR Code

SOME RESULTS INVOLVING THE REPRESENTATION OF THE CENTRALIZER OF A MATRIX

  • Smail Bouarga (Department of Applied Mathematics Faculty of Applied Sciences University Ibn Zohr)
  • Received : 2022.03.12
  • Accepted : 2022.06.28
  • Published : 2023.01.31

Abstract

In this paper, we investigate the dimension and the structure of the centralizer of a square matrix with entries from an arbitrary field.

Keywords

Acknowledgement

The author sincerely thanks the reviewer for his valuable comments.

References

  1. W. A. Adkins and S. H. Weintraub, Algebra, Graduate Texts in Mathematics, 136, Springer-Verlag, New York, 1992. https://doi.org/10.1007/978-1-4612-0923-2
  2. G. E. Andrews, The theory of partitions, reprint of the 1976 original, Cambridge Mathematical Library, Cambridge University Press, Cambridge, 1998.
  3. M. Charkani and S. Bouarga, Polynomial solution of sylvester matrix equation, Inter. J. Alg. 9 (2015), 185-194. https://doi.org/10.12988/ija.2015.5311
  4. X. Gourdon, Les maths en tete: Algebre [maths in head: Algebra], Ellipses, Paris.
  5. R. Lal, Algebra 2-linear algebra, Galois theory, representation theory, group extensions and Schur multiplier, Infosys Science Foundation Series, Springer, Singapore, 2017.
  6. S. Lang, Algebra, revised third edition, Graduate Texts in Mathematics, 211, Springer-Verlag, New York, 2002. https://doi.org/10.1007/978-1-4613-0041-0
  7. K. C. O'Meara, J. Clark, and C. I. Vinsonhaler, Advanced Topics in Linear Algebra, Oxford University Press, Oxford, 2011.
  8. G. Weiss, The Theory of Matrices. vol. 1 and vol. 2. F. R. Gantmacher. Chelsea Publishing Company, New York 68, 1959. vol. 1: x+374 pp. vol. 2: x+277 pp. 6 each, Science 131 (1960), 1216-1216. https://doi.org/10.1126/science.131.3408.1216.b