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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| Дата: | 2018 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2018
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| Теми: | |
| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/183 |
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| Назва журналу: | Algebra and Discrete Mathematics |
Репозитарії
Algebra and Discrete Mathematics| _version_ | 1856543243882201088 |
|---|---|
| author | Haider, Azeem |
| author_facet | Haider, Azeem |
| author_sort | Haider, Azeem |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-05-17T07:54:05Z |
| description | 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. |
| first_indexed | 2025-12-02T15:30:34Z |
| format | Article |
| id | admjournalluguniveduua-article-183 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:30:34Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-1832018-05-17T07:54:05Z A way of computing the Hilbert series Haider, Azeem Monomial Ideals, Hilbert Series 13P10, 13F20, 68R05, 05E40 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. Lugansk National Taras Shevchenko University 2018-04-27 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/183 Algebra and Discrete Mathematics; Vol 25, No 1 (2018) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/183/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/183/310 Copyright (c) 2018 Algebra and Discrete Mathematics |
| spellingShingle | Monomial Ideals Hilbert Series 13P10 13F20 68R05 05E40 Haider, Azeem A way of computing the Hilbert series |
| title | A way of computing the Hilbert series |
| title_full | A way of computing the Hilbert series |
| title_fullStr | A way of computing the Hilbert series |
| title_full_unstemmed | A way of computing the Hilbert series |
| title_short | A way of computing the Hilbert series |
| title_sort | way of computing the hilbert series |
| topic | Monomial Ideals Hilbert Series 13P10 13F20 68R05 05E40 |
| topic_facet | Monomial Ideals Hilbert Series 13P10 13F20 68R05 05E40 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/183 |
| work_keys_str_mv | AT haiderazeem awayofcomputingthehilbertseries AT haiderazeem wayofcomputingthehilbertseries |