In mathematics, a monomial order (sometimes called a term order or an admissible order) is a total order on the set of all (monic) monomials in a given polynomial ring, satisfying the property of respecting multiplication, i.e., If u ≤ v {\displaystyle u\leq v} and w {\displaystyle w} is any other monomial, then u w ≤ v w {\displaystyle uw\leq vw} . Monomial orderings are most commonly used with Gröbner bases and multivariate division.
In mathematics, a monomial order (sometimes called a term order or an admissible order) is a total order on the set of all (monic) monomials in a given polynomial ring, satisfying the property of respecting multiplication, i.e., If u ≤ v {\displaystyle u\leq v} and w {\displaystyle w} is any other monomial, then u w ≤ v w {\displaystyle uw\leq vw} . Monomial orderings are most commonly used with Gröbner bases and multivariate division.
Source: Wikipedia "Monomial order" · CC BY-SA 4.0
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