A way of computing the Hilbert series

• Date: 2018
• Main Author: Haider, Azeem
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: Monomial Ideals; Hilbert Series; 13P10; 13F20; 68R05; 05E40
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/183
• Journal Title: Algebra and Discrete Mathematics

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.