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NC.IsHomog

Check whether a polynomial of a list of polynomials is homogeneous in a free monoid ring.
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 fieldK, alphabet (or set of indeterminates) X and ordering via the functions NC.SetFp, NC.SetX and NC.SetOrdering, respectively, before calling the function. The default coefficient field is Q. The 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
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NC.IsHomog(F1);
True
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NC.IsHomog(F2);
False
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See Also