VectorInWidth + VectorInWidth -- add two elements of a free OI-module

Operator: +
Usage:

f + g
Inputs:
- f, an instance of the type VectorInWidth,
- g, an instance of the type VectorInWidth,
Outputs:
- an instance of the type VectorInWidth,

Description

Adds f and g.

i1 : P = makePolynomialOIAlgebra(2, x, QQ);

i2 : F = makeFreeOIModule(e, {1,1}, P);

i3 : installGeneratorsInWidth(F, 2);

i4 : f=x_(1,1)*e_(2,{1},1)+x_(2,1)*e_(2,{1},2)-5*x_(1,2)*e_(2,{2},1)-x_(2,2)*e_(2,{2},2)

o4 = -5x   e        + x   e        - x   e        + x   e
        1,2 2,{2},1    1,1 2,{1},1    2,2 2,{2},2    2,1 2,{1},2

                                 4
o4 : (QQ[x   , x   , x   , x   ])  in width 2
          2,2   2,1   1,2   1,1

i5 : g = 5*x_(1,2)*e_(2,{2},1)

o5 = 5x   e
       1,2 2,{2},1

                                 4
o5 : (QQ[x   , x   , x   , x   ])  in width 2
          2,2   2,1   1,2   1,1

i6 : f + g

o6 = x   e        - x   e        + x   e
      1,1 2,{1},1    2,2 2,{2},2    2,1 2,{1},2

                                 4
o6 : (QQ[x   , x   , x   , x   ])  in width 2
          2,2   2,1   1,2   1,1

Ways to use this method:

VectorInWidth + VectorInWidth -- add two elements of a free OI-module

The source of this document is in OIGroebnerBases.m2:2316:0.