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NC.IsHomog

Check whether a polynomial or a LIST of polynomials is homogeneous in a non-commutative polynomial ring.
Syntax
          
NC.IsHomog(F:LIST):BOOL

          

Description
Please set non-commutative polynomial ring (via the command Use) before calling this function. For more information, please check the relevant commands and functions.

Example
USE QQ[x[1..2],y[1..2]];
F1:= [[2x[1],y[1],x[2]^2], [-9y[2],x[1]^2,x[2]^3]]; -- 2x[1]y[1]x[2]^2-9y[2]x[1]^2x[2]^3
F2:= [[2x[1],y[1],x[2]^2], [y[2],x[2]^3]]; -- 2x[1]y[1]x[2]^2+y[2]x[2]^3
F3:= [[2x[1],y[1],x[2]]]; -- 2x[1]y[1]x[2]
NC.IsHomog(F1);
NC.IsHomog(F2);
NC.IsHomog(F3);
NC.IsHomog([F1,F2,F3]);
NC.IsHomog([F2,F3]);

False
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True
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True
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False
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True
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See Also