Monomial Golod Quotients of Exterior Algebras

It is proved that for any set M of squarefree monomials in the variables x1,…,xn, the algebra A = k[x1,…,xn]/(M) is Golod if and only if the algebra B = E(x1,…,xn)/(M) is Golod, where E is the exterior algebra. This is proved by showing the equivalence of the extremality of the Poincaré series of A and B.