numgens(Subring) -- The number of generators of a subring

Synopsis

• Function: numgens

• Usage:

  result = numgens S

• Inputs:
  • S, a subring,
• Outputs:
  • result, an integer, the number of generators of S

Description

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

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

i3 : numgens S

o3 = 4

See also

• Subring -- The type of all subrings
• subring -- Constructs a subring of a polynomial ring.
• generators(Subring) -- A generating set of a subring
• ambient(Subring) -- The ambient ring of a subring
• numgens(SAGBIBasis) -- The number of generators of a SAGBIBasis
• net(Subring) -- Short summary of a subring
• flattenedRing(Subring) -- The flattened ring of a subring or sagbiBasis