A way of computing the Hilbert series

• Datum: 2018
• 1. Verfasser: Haider, Azeem
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Lugansk National Taras Shevchenko University 2018
• Schlagworte: Monomial Ideals; Hilbert Series; 13P10; 13F20; 68R05; 05E40
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/183
• Назва журналу: 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.