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DGAlgebras :: isAcyclic

isAcyclic -- Determines if a DGAlgebra is acyclic.

Synopsis

Description

This function determines if the DGAlgebra is acyclic.

i1 : R = ZZ/101[a,b,c,d]/ideal{a^4+b^4+c^4+d^4}

o1 = R

o1 : QuotientRing
i2 : isAcyclic(koszulComplexDGA R)

o2 = false
i3 : Q = ZZ/101[a,b,c,d]

o3 = Q

o3 : PolynomialRing
i4 : I = ideal {a^4,b^4,c^4,d^4}

             4   4   4   4
o4 = ideal (a , b , c , d )

o4 : Ideal of Q
i5 : isAcyclic(koszulComplexDGA I)

o5 = true

Ways to use isAcyclic :

For the programmer

The object isAcyclic is a method function with options.