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Leading term of a polynomial in a free monoid ring over
F2.
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 set of indeterminates)
X and
admissible ordering via the functions
NC.SetX and
NC.SetOrdering, respectively, before calling the function. The default ordering is length-lexicographic ordering ("LLEX"). For more information, please check the relevant functions.
- @param F: a polynomial in the free monoid ring F2. Each polynomial is represented as a LIST of words (or terms) in . Each word is represented as a STRING. For example, xy^2x is represented as "xyyx", and the identity is represented as the empty string "". Thus, the polynomial F=xy-y+1 in F2 is represented as F:=["xy", "y", ""]. The zero polynomial 0 is represented as the empty LIST [].
- @return: a STRING which represents the leading term of F w.r.t. the current ordering. If F=0, the function returns nothing.
NC.SetX("xX");
NC.SetOrdering("LLEX");
F1:=["xX","Xx"];
NC.GLT(F1);
xX
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NC.GLT([]);
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