Abstract

In this work we are going to extend the proof of Newton's theorem of symmetric polynomials, by considering any monomial order $>$ on polynomials in $n$ variables $x_{1},x_{2},\dots,x_{n}$ over a field $k$, where the original proof is based on the graded lexicographic order. We will introduce some basic definitions and propositions to support the extended proof.

Keywords: Symmetric polynomials.

Pages:  55$-$59     

Volume  XV ,  Issue  1 ,  2012