A way of computing the Hilbert series

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.

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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
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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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Haider, A.
author_facet Haider, A.
citation_txt A way of computing the Hilbert series / A. Haider // Algebra and Discrete Mathematics. — 2018. — Vol. 25, № 1. — С. 35-38. — Бібліогр.: 4 назв. — англ.
collection DSpace DC
container_title Algebra and Discrete Mathematics
description 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.
first_indexed 2025-12-07T16:33:23Z
format Article
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1726-3255
language English
last_indexed 2025-12-07T16:33:23Z
publishDate 2018
publisher Інститут прикладної математики і механіки НАН України
record_format dspace
spelling Haider, A.
2023-02-23T19:20:38Z
2023-02-23T19:20:38Z
2018
A way of computing the Hilbert series / A. Haider // Algebra and Discrete Mathematics. — 2018. — Vol. 25, № 1. — С. 35-38. — Бібліогр.: 4 назв. — англ.
1726-3255
2010 MSC: Primary 13P10; Secondary 13F20, 68R05, 05E40.
https://nasplib.isofts.kiev.ua/handle/123456789/188346
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.
en
Інститут прикладної математики і механіки НАН України
Algebra and Discrete Mathematics
A way of computing the Hilbert series
Article
published earlier
spellingShingle A way of computing the Hilbert series
Haider, A.
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
url https://nasplib.isofts.kiev.ua/handle/123456789/188346
work_keys_str_mv AT haidera awayofcomputingthehilbertseries
AT haidera wayofcomputingthehilbertseries