up previous next
NC.IsHomog

Checks whether a polynomial of a list of polynomials is homogeneous over a free associative K-algebra.
Syntax
          
NC.IsHomog(F:LIST):BOOL

          

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("xy"); 
F1 := [[1,"x"], [1,"y"]]; 
F2 := [[1,"xx"],[1,"xy"],[1,"x"]]; 
F := [F1,F2]; 
NC.IsHomog(F);
False
-------------------------------
NC.IsHomog(F1);
True
-------------------------------
NC.IsHomog(F2);
False
-------------------------------


See Also