1.Previous
3.Next

choice of a total order on the monomials allows sorting the terms of a polynomial. The leading term of a polynomial is thus the term of the largest monomial (for the chosen monomial ordering).

Concretely, let be any ring of polynomials. Then the set of the (monic) monomials in is a basis of , considered as a vector space over the field of the coefficients. Thus, any nonzero polynomial in

1.Previous
3.Next