A way of computing the Hilbert series

• Published in: Algebra and Discrete Mathematics
• Date: 2018
• Main Author: Haider, A.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/188346
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: A way of computing the Hilbert series / A. Haider // Algebra and Discrete Mathematics. — 2018. — Vol. 25, № 1. — С. 35-38. — Бібліогр.: 4 назв. — англ.

Let S = K[x1, x2, . . . , xn] 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.