Bulletin of Pure & Applied Sciences- Mathematics and Statistics
  • Year: 2017
  • Volume: 36e
  • Issue: 1

Sylvester Rhotrices and Their Properties Over Finite Fields

1Department of Mathematics & Statistics, Himachal Pradesh University, Shimla-5, India

2Bahra University, Solan, (H.P.), India

*Corresponding Author: P.L. Sharma, Department of Mathematics & Statistics, Himachal Pradesh University, Shimla, Himachal Pradesh, 171005, E-mail: plsharma1964@gmail.com

AMS Classification (2010): 15A09, 20H30, 11T71

Abstract

Sylvester matrices play an important role in commutative algebra. We use the coefficients of the polynomials over finite fields to define Sylvester rhotrix. Further, we study the properties of Sylvester rhotrix.

Keywords

Sylvester matrix, Sylvesterrhotrix, Finite field, Determinant, Resultant