A way of computing the Hilbert series

Abstract

Let \(S=K[x_1,x_2,\ldots,x_n]\) be a standard graded \(K\)-algebra for any field  \(K\). Without using any heavy tools of commutative algebra we compute the Hilbert series of graded \(S\)-module \(S/I,\) where \(I\) is a monomial ideal.