Bulletin of Pure & Applied Sciences- Mathematics and Statistics

  • Year: 2011
  • Volume: 30e
  • Issue: 1

Note on rhotrices and the construction of finite fields

  • Author:
  • S. Usaini, S.M. Tudunkaya
  • Total Page Count: 6
  • DOI:
  • Page Number: 53 to 58

Department of Mathematical Sciences, Kano University of Science and Technology, Wudil, P.M. B3244, Kano, Nigeria

Abstract

In an attempt to exemplify the fields of rhotrices defined by [2] and [3], a problem has been encountered, concerning additive closure. It was discovered that those fields as they were defined are not closed under the operation of rhotrix addition. To take care of this problem, a solution is proposed in this note and more interestingly, the exemplification is achieved.

Keywords

field, finite field, rhotrix, field of rhotrices, finite field of rhotrices