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Hilbert function of
F2/(Gb).
NC.GHF(Gb:LIST):LIST
NC.GHF(Gb:LIST, DegreeBound:INT):LIST
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Please note: The function(s) explained on this page is/are using the
ApCoCoAServer. You will have to start the ApCoCoAServer in order to use it/them.
Please set ring environment alphabet (or indeterminates)
X and ordering through the functions
NC.SetX(X) and
NC.SetOrdering(Ordering), respectively, before calling the function. Default ordering is length-lexicographic ordering ("LLEX"). For more information, please check the relevant functions.
- @param Gb: a LIST of non-zero polynomials in free group ring over F2 which is a Groebner basis of (two-sided) ideal generated by Gb. Each polynomial is represented as a LIST of words (or terms). Each term is represented as a STRING. For example, xy^2x is represented as "xyyx", unit is represented as an empty string "". Then, polynomial F=xy-y+1 is represented as F:=["xy", "y", ""]. 0 polynomial is represented as an empty LIST [].
- @param DegreeBound: (optional) a positive integer which is a degree bound of Hilbert funtion.
- @return: a LIST of non-negative integers, which is a list of coefficient of Hilbert function of F2/(Gb).