map(Module,Module,Matrix) -- create the matrix induced on generators by a given matrix

Synopsis

• Function: map

• Usage:

  map(M,N,p)

• Inputs:
  • M, a module
  • N, a module
  • p, a matrix
• Optional inputs:
  • Degree => ..., default value null, specify the degree of a map
  • DegreeLift => ..., default value null, make a ring map
  • DegreeMap => ..., default value null, make a ring map
• Outputs:
  • a matrix, A matrix with the same entries as p, but whose target is M and source is N

Description

i1 : R = QQ[x,y,z];

i2 : p = matrix {{x,y,z}}

o2 = | x y z |

             1      3
o2 : Matrix R  <-- R

i3 : q = map(R^1,R^3,p)

o3 = | x y z |

             1      3
o3 : Matrix R  <-- R

i4 : degrees source p

o4 = {{1}, {1}, {1}}

o4 : List

i5 : degrees source q

o5 = {{0}, {0}, {0}}

o5 : List

Caveat

See also

• inducedMap -- compute an induced map