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MonomialOrder -- monomial ordering

MonomialOrder -- a key used with monoids to indicate a monomial ordering other than the default (graded reverse lexicographic)

Permissible values:

  • GRevLex -- reverse lexicographic ordering
  • GLex -- graded lexicographic ordering
  • Lex -- lexicographic ordering
  • RevLex -- reverse lexicographic ordering
  • Eliminate -- elimination ordering
  • ProductOrder -- product ordering
  • Eventually, more general monomial orders will be allowed.

    See also:

  • polynomial rings with other monomial orderings
  • Weights -- specify monomial ordering by weights
  • The symbol MonomialOrder is a member of the class Symbol.

    Functions with optional argument named MonomialOrder :

  • graphIdeal(..., MonomialOrder => ...)
  • graphRing(..., MonomialOrder => ...)
  • modifyRing(..., MonomialOrder => ...)
  • pushForward(..., MonomialOrder => ...)
  • pushForward1(..., MonomialOrder => ...) -- specify the elimination order to use in pushForward1
  • sortColumns(..., MonomialOrder => ...) -- specify Ascending or Descending sort order
  • symmetricAlgebra(..., MonomialOrder => ...)
  • tensor(..., MonomialOrder => ...)

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