localMingens -- finds a minimal set of generators

Synopsis

• Usage:

  localMingens m

• Inputs:
  • m, a matrix
• Outputs:
  • a matrix, the matrix of minimal generators

Description

i1 : R=QQ[a,b]

o1 = R

o1 : PolynomialRing

i2 : setMaxIdeal ideal gens R

o2 = ideal (a, b)

o2 : Ideal of R

i3 : mingens image matrix{{a-1,a,b},{a-1,a,b}}

o3 = | 1 b a-1 |
     | 1 b a-1 |

             2      3
o3 : Matrix R  <-- R

i4 : localMingens matrix {{a-1,a,b},{a-1,a,b}}

o4 = | a-1 |
     | a-1 |

             2      1
o4 : Matrix R  <-- R

See also

• setMaxIdeal -- set the maximal ideal for local ring methods
• localComplement -- find the splitting of the target of a map
• localsyz -- find syzygies
• localModulo -- find the pre-image (pullback) of image of a map over a local ring
• localPrune -- find a minimal presentation
• localResolution -- find a resolution over a local ring
• residueMap -- The class of all local rings
• maxIdeal -- The class of all local rings