List * NCRingElement -- Scales a list by an NCRingElement on the right

i1 : A = QQ{x,y}

o1 = A

o1 : NCPolynomialRing

i2 : f = x^2+y^2

      2  2
o2 = y +x

o2 : A

i3 : bas = flatten entries basis(3,A)

       3    2        2    2          2   3
o3 = {x , yx , xyx, y x, x y, yxy, xy , y }

o3 : List

i4 : bas*f

       3 2  5    2 2   4      2    3   2  2  2 3   2 3  2  2     3     2 
o4 = {x y +x , yx y +yx , xyxy +xyx , y xy +y x , x y +x yx , yxy +yxyx ,
     ------------------------------------------------------------------------
       4   2 2   5  3 2
     xy +xy x , y +y x }

o4 : List