map(Module) -- identity map

Synopsis

• Function: map

• Usage:

  map M

• Inputs:
  • M
• 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, the identity map on M

Description

i1 : f = map ZZ^3

o1 = | 1 0 0 |
     | 0 1 0 |
     | 0 0 1 |

              3       3
o1 : Matrix ZZ  <-- ZZ

i2 : g = id_(ZZ^3)

o2 = | 1 0 0 |
     | 0 1 0 |
     | 0 0 1 |

              3       3
o2 : Matrix ZZ  <-- ZZ

i3 : f === g

o3 = true

Caveat

See also

• id _ Module -- identity map