| dc.contributor.author |
Saha, Joydip |
|
| dc.contributor.author |
Sengupta, Indranath |
|
| dc.contributor.author |
Srivastava, Pranjal |
|
| dc.coverage.spatial |
United States of America |
|
| dc.date.accessioned |
2024-05-30T11:50:01Z |
|
| dc.date.available |
2024-05-30T11:50:01Z |
|
| dc.date.issued |
2024-05 |
|
| dc.identifier.citation |
Saha, Joydip; Sengupta, Indranath and Srivastava, Pranjal, "Projective closure of semigroup algebras", arXiv, Cornell University Library, DOI: arXiv:2405.11319, May 2024. |
|
| dc.identifier.uri |
http://arxiv.org/abs/2405.11319 |
|
| dc.identifier.uri |
https://repository.iitgn.ac.in/handle/123456789/10088 |
|
| dc.description.abstract |
This paper investigates the projective closure of simplicial affine semigroups in Nd, d≥2. We present a characterization of the Cohen-Macaulay property for the projective closure of these semigroups using Gröbner bases. Additionally, we establish a criterion, based on Gröbner bases, for determining the Buchsbaum property of non-Cohen-Macaulay projective closures of numerical semigroup rings. Lastly, we introduce the concept of k-lifting for simplicial affine semigroups in Nd, and investigate its relationship with the original simplicial affine semigroup. |
|
| dc.description.statementofresponsibility |
by Joydip Saha, Indranath Sengupta and Pranjal Srivastava |
|
| dc.language.iso |
en_US |
|
| dc.publisher |
Cornell University Library |
|
| dc.title |
Projective closure of semigroup algebras |
|
| dc.type |
Article |
|
| dc.relation.journal |
arXiv |
|