Elementary symmetric polynomial
HOMOGENEOUS SYMMETRIC POLYNOMIAL IN WHICH EACH POSSIBLE MONOMIAL OCCURS EXACTLY ONCE WITH COEFFICIENT 1
Elementary symmetric function; Elementary symmetric polynomials; Fundamental theorem of symmetric polynomials; Fundamental Theorem of Symmetric Polynomials
In mathematics, specifically in commutative algebra, the elementary symmetric polynomials are one type of basic building block for symmetric polynomials, in the sense that any symmetric polynomial can be expressed as a polynomial in elementary symmetric polynomials. That is, any symmetric polynomial is given by an expression involving only additions and multiplication of constants and elementary symmetric polynomials.