Monomial Golod quotients of exterior algebras (Q1305035)

In this paper the author proves the following theorem. If \(M\) is any set of square-free monomials in the variables \(x_1,\dots,x_n\), the algebra \(A=k[x_1, \dots,x_n]/(M)\) is Golod if and only if the algebra \(B=E(x_1, \dots, x_n)/(M)\) is Golod, where \(k\) is a field and \(E\) is the exterior algebra. For this he proves some lemmas about Poincaré series of a \(\mathbb{N}^n\)-graded \(A\)-module over an \(\mathbb{N}^n\)-graded algebra \(A\).