Conjugate Systems of Polynomial Equations

DOI: 10.5176/2251-1911_CMCGS27

Authors: Pamini Thangarajah

Abstract: The study of polynomial equations is one of the important branches of Mathematics. It dates back to 1600 BC, initially with no sign of algebraic formulations such as in Babylonian tablets and ancient Greek geometrical constructions.In this paper we study possible relations between the solutions of conjugate systems of polynomial equations. We compared the number of solutions by using the structure theorem for a finite dimensional commutative associative algebras with identity. Also, we have presented our investigation into the problem by using finite dimensional Jordan Algebra.This paper is a part of my PhD Thesis titled Systems of Polynomial Equations.

Keywords: polynomial equations, finite dimensional commutative associative algebra, Jordan algebra