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 />

Bibliographic Details
Main Authors: Neeraj Kumar, Ivan Martino
Format: Article
Language:English
Published: Università degli Studi di Catania 2012-05-01
Series:Le Matematiche
Subjects:
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
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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 />
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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
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AT ivanmartino analgebraicprooffortheidentitiesforthedegreeofsyzygiesinnumericalsemigroup
AT neerajkumar algebraicprooffortheidentitiesforthedegreeofsyzygiesinnumericalsemigroup
AT ivanmartino algebraicprooffortheidentitiesforthedegreeofsyzygiesinnumericalsemigroup