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NC.LC

Leading coefficient of a polynomial over a free associative K-algebra.
Syntax
          
NC.LC(F:LIST):INT or RAT

          

Description
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 coefficient field K, alphabet (or indeterminates) X and ordering through the functions NC.SetFp(Prime), NC.SetX(X) and NC.SetOrdering(Ordering), respectively, before calling the function. Default coefficient field is Q. Default ordering is length-lexicographic ordering ("LLEX"). For more information, please check the relevant functions.

Example
NC.SetX("abc");
F:=[[1,"ab"],[2,"aa"],[3,"bb"],[4,"bab"]];
NC.SetOrdering("ELIM");
NC.LC(F);
2
-------------------------------
NC.SetOrdering("LLEX");
NC.LC(F);
4
-------------------------------
NC.LC([]); -- 0 polynomial
0
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See Also