| 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 |
2022-11-01T08:30:07Z |
|
| dc.date.available |
2022-11-01T08:30:07Z |
|
| dc.date.issued |
2022-10 |
|
| dc.identifier.citation |
Saha, Joydip; Sengupta, Indranath and Srivastava, Pranjal, "On the associated graded ring of semigroup algebras", arXiv, Cornell University Library, DOI: arXiv:2210.07520, Oct. 2022. |
en_US |
| dc.identifier.uri |
https://arxiv.org/abs/2210.07520v1 |
|
| dc.identifier.uri |
https://repository.iitgn.ac.in/handle/123456789/8255 |
|
| dc.description.abstract |
In this paper, we give the necessary and sufficient conditions for the Cohen-Macaulayness of the associated graded ring of a simplicial affine semigroups using Gröbner basis. We generalize the concept of homogeneous numerical semigroup for the simplicial affine semigroup and show that the Betti numbers of the corresponding semigroup ring matches with the Betti numbers of the associated graded ring. We also define the nice extension for simplicial affine semigroups, motivated by the notion of a nice extension of the numerical semigroups. |
|
| dc.description.statementofresponsibility |
by Joydip Saha, Indranath Sengupta and Pranjal Srivastava |
|
| dc.language.iso |
en_US |
en_US |
| dc.publisher |
Cornell University Library |
en_US |
| dc.subject |
Grobner basis |
en_US |
| dc.subject |
Betti numbers |
en_US |
| dc.subject |
Graded ring |
en_US |
| dc.subject |
Semigroup algebras |
en_US |
| dc.subject |
Cohen-Macaulayness |
en_US |
| dc.title |
On the associated graded ring of semigroup algebras |
en_US |
| dc.type |
Pre-Print Archive |
en_US |
| dc.relation.journal |
arXiv |
|