An algebraic proof for the identities for the degree of syzygies in numerical semigroup
In the article [4] two new identities for the degree of syzygies are given. We present an algebraic proof of them, using only basic homological algebra tools. We also extend these results.<br /><br />
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Format: | Article |
Language: | English |
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Università degli Studi di Catania
2012-05-01
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Series: | Le Matematiche |
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Online Access: | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/943 |
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author | Neeraj Kumar Ivan Martino |
author_facet | Neeraj Kumar Ivan Martino |
author_sort | Neeraj Kumar |
collection | DOAJ |
description | In the article [4] two new identities for the degree of syzygies are given. We present an algebraic proof of them, using only basic homological algebra tools. We also extend these results.<br /><br /> |
first_indexed | 2024-12-19T08:09:58Z |
format | Article |
id | doaj.art-5470b5635faf4e298d5825cb5bd2cf20 |
institution | Directory Open Access Journal |
issn | 0373-3505 2037-5298 |
language | English |
last_indexed | 2024-12-19T08:09:58Z |
publishDate | 2012-05-01 |
publisher | Università degli Studi di Catania |
record_format | Article |
series | Le Matematiche |
spelling | doaj.art-5470b5635faf4e298d5825cb5bd2cf202022-12-21T20:29:40ZengUniversità degli Studi di CataniaLe Matematiche0373-35052037-52982012-05-016718189814An algebraic proof for the identities for the degree of syzygies in numerical semigroupNeeraj KumarIvan MartinoIn the article [4] two new identities for the degree of syzygies are given. We present an algebraic proof of them, using only basic homological algebra tools. We also extend these results.<br /><br />http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/943Numerical semigroupHilbert SeriesSyzygiesBetti Numbers. |
spellingShingle | Neeraj Kumar Ivan Martino An algebraic proof for the identities for the degree of syzygies in numerical semigroup Le Matematiche Numerical semigroup Hilbert Series Syzygies Betti Numbers. |
title | An algebraic proof for the identities for the degree of syzygies in numerical semigroup |
title_full | An algebraic proof for the identities for the degree of syzygies in numerical semigroup |
title_fullStr | An algebraic proof for the identities for the degree of syzygies in numerical semigroup |
title_full_unstemmed | An algebraic proof for the identities for the degree of syzygies in numerical semigroup |
title_short | An algebraic proof for the identities for the degree of syzygies in numerical semigroup |
title_sort | algebraic proof for the identities for the degree of syzygies in numerical semigroup |
topic | Numerical semigroup Hilbert Series Syzygies Betti Numbers. |
url | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/943 |
work_keys_str_mv | AT neerajkumar analgebraicprooffortheidentitiesforthedegreeofsyzygiesinnumericalsemigroup AT ivanmartino analgebraicprooffortheidentitiesforthedegreeofsyzygiesinnumericalsemigroup AT neerajkumar algebraicprooffortheidentitiesforthedegreeofsyzygiesinnumericalsemigroup AT ivanmartino algebraicprooffortheidentitiesforthedegreeofsyzygiesinnumericalsemigroup |