isLexIdeal -- whether an ideal is lex

• Usage:

  isLexIdeal I

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

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

o1 = E

o1 : PolynomialRing, 4 skew commutative variable(s)

i2 : isLexIdeal ideal {e_1*e_2,e_2*e_3}

o2 = false

i3 : isLexIdeal ideal {e_1*e_2,e_1*e_3,e_1*e_4,e_2*e_3}

o3 = true