A way of computing the Hilbert series
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.
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| Date: | 2018 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2018
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| Subjects: | |
| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/183 |
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| Journal Title: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| Summary: | 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. |
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