isStronglyStableIdeal -- whether a monomial ideal in an exterior algebra is strongly stable

Synopsis

• Usage:

  isStronglyStableIdeal I

• Inputs:
  • I, a monomial ideal of an exterior algebra
• Outputs:
  • a Boolean value, true whether ideal I is strongly stable

Description

Examples:

i1 : E=QQ[e_1..e_4,SkewCommutative=>true]

o1 = E

o1 : PolynomialRing, 4 skew commutative variables

i2 : isStronglyStableIdeal ideal {e_2*e_3}

o2 = false

i3 : isStronglyStableIdeal ideal {e_1*e_2,e_1*e_3,e_2*e_3}

o3 = true

See also

• stronglyStableIdeal -- compute the smallest strongly stable ideal in an exterior algebra containing a given monomial ideal