coverMap(Module) -- the surjective map from a free module to a module corresponding to the generators

Synopsis

• Function: coverMap

• Usage:

  coverMap M

• Inputs:
  • M, a module
• Outputs:
  • a matrix, the surjective map from a free module to M corresponding to the generators

Description

i1 : M = image matrix {{2},{0}}

o1 = image | 2 |
           | 0 |

                               2
o1 : ZZ-module, submodule of ZZ

i2 : f = coverMap M

o2 = | 1 |

o2 : Matrix

i3 : isSurjective f

o3 = true