LEX TERM ORDER

The terms are ordered lexicographically: two terms t1 t2 are compared for their degrees along the fixed variable sequence: t1 is higher than t2 if the first different degree is higher in t1. This order has the elimination property for groebner basis calculations. If the ideal has a univariate polynomial in the last variable the groebner basis will contain such polynomial. Lex is best suited for solving of polynomial equation systems.