numgens(SAGBIBasis) -- The number of generators of a SAGBIBasis

Synopsis

• Function: numgens

• Usage:

  result = numgens SB

• Inputs:
  • SB, a SAGBIBasis,
• Outputs:
  • result, an integer, the number of subalgebra generators of SB

Description

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

i2 : S = subring({x^2, y^2, z^2, x^2+y^2});

i3 : SB = sagbi S;

i4 : numgens SB

o4 = 3

See also

• Subring -- The type of all subrings
• subring -- Constructs a subring of a polynomial ring.
• SAGBIBasis -- The type of all subalgebra bases
• sagbiBasis -- Constructs a computation object from a subring.
• generators(SAGBIBasis) -- Returns generators of a SAGBIBasis computation object
• ambient(SAGBIBasis) -- The ambient ring of a SAGBIBasis computation object
• numgens(SAGBIBasis) -- The number of generators of a SAGBIBasis
• net(Subring) -- Short summary of a subring
• flattenedRing(SAGBIBasis) -- The flattened ring of a subring or sagbiBasis