janetMultVar -- return table of multiplicative variables for given module elements as determined by Janet division

Synopsis

• Usage:

  janetMultVar M

• Inputs:
  • M, a matrix or a list
• Outputs:
  • list of sets of variables of the polynomial ring; the i-th set consists of the multiplicative variables for the i-th generator in J

Description

i1 : R = QQ[x1,x2,x3];

i2 : M = matrix {{ x1*x2*x3, x2^2*x3, x1*x2*x3^2 }};

             1       3
o2 : Matrix R  <--- R

i3 : janetMultVar M

o3 = {set {x1, x2}, set {x2, x3}, set {x1, x2, x3}}

o3 : List

See also

• pommaretMultVar -- return table of multiplicative variables for given module elements as determined by Pommaret division
• janetBasis -- compute Janet basis for an ideal or a submodule of a free module
• multVar -- extract the sets of multiplicative variables for each generator (in several contexts)
• isPommaretBasis -- check whether or not a given Janet basis is also a Pommaret basis