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
Автор: Haider, Azeem
Формат: Стаття
Мова:English
Опубліковано: Lugansk National Taras Shevchenko University 2018
Теми:
Онлайн доступ:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/183
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Назва журналу:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
id oai:ojs.admjournal.luguniv.edu.ua:article-183
record_format ojs
spelling oai:ojs.admjournal.luguniv.edu.ua: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
institution Algebra and Discrete Mathematics
collection OJS
language English
topic Monomial Ideals
Hilbert Series
13P10
13F20
68R05
05E40
spellingShingle Monomial Ideals
Hilbert Series
13P10
13F20
68R05
05E40
Haider, Azeem
A way of computing the Hilbert series
topic_facet Monomial Ideals
Hilbert Series
13P10
13F20
68R05
05E40
format Article
author Haider, Azeem
author_facet Haider, Azeem
author_sort Haider, Azeem
title A way of computing the Hilbert series
title_short 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_sort way of computing the hilbert series
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.
publisher Lugansk National Taras Shevchenko University
publishDate 2018
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/183
work_keys_str_mv AT haiderazeem awayofcomputingthehilbertseries
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first_indexed 2024-04-12T06:25:15Z
last_indexed 2024-04-12T06:25:15Z
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