A monomial order, also called a monomial ordering, is a well ordered set of monomials which also satisfies the
condition "
implies 
"
for all monomials 
,
, and 
. Examples of monomial orders are the lexicographic
order and the total degree order.
Monomial Order
See also
Well Ordered SetExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Monomial Order." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/MonomialOrder.html