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NC.Sub

Subtraction of two polynomials in a non-commutative polynomial ring.
Syntax
          
NC.Sub(F1:LIST, F2:LIST):LIST

          

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 non-commutative polynomial ring (via the command Use) and word ordering (via the function NC.SetOrdering) before calling this function. The default word ordering is the length-lexicographic ordering ("LLEX"). For more information, please check the relevant commands and functions.

Example
USE ZZ/(31)[x[1..2],y[1..2]];
F1:= [[2x[1],x[2]], [13y[2]], [5]]; -- 2x[1]x[2]+13y[2]+5
F2:= [[2y[1],y[2]], [19y[2]], [2]]; -- 2y[1]y[2]+19y[2]+2
NC.Sub(F1,F2);

[[2x[1], x[2]], [-2y[1], y[2]], [-6y[2]], [3]]
-------------------------------
NC.Sub([],F2); -- 0-F2

[[-2y[1], y[2]], [12y[2]], [-2]]
-------------------------------


See Also