Matrix ** Ring -- tensor product

Synopsis

• Operator: **

• Usage:

  f ** R

  R ** f

• Inputs:
  • f, a matrix
  • R, a ring
• Outputs:
  • a matrix, over R, obtained by forming the tensor product of the module map f with R

Description

The ring of f should be a base ring of R. The degree of the map is preserved.

i1 : R = ZZ[a..c];

i2 : S = R/(a+b+c);

i3 : f = vars R

o3 = | a b c |

             1       3
o3 : Matrix R  <--- R

i4 : f ** S

o4 = | -b-c b c |

             1       3
o4 : Matrix S  <--- S