| dc.contributor.author |
Saha, Joydip |
|
| dc.contributor.author |
Sengupta, Indranath |
|
| dc.contributor.author |
Srivastava, Pranjal |
|
| dc.coverage.spatial |
United Kingdom |
|
| dc.date.accessioned |
2023-05-15T12:58:53Z |
|
| dc.date.available |
2023-05-15T12:58:53Z |
|
| dc.date.issued |
2023-10 |
|
| dc.identifier.citation |
Saha, Joydip; Sengupta, Indranath and Srivastava, Pranjal, “On the associated graded ring of semigroup algebras”, Communications in Algebra, DOI: 10.1080/00927872.2023.2203773, vol. 51, no. 10. pp. 4259-4270, Oct. 2023. |
|
| dc.identifier.issn |
0092-7872 |
|
| dc.identifier.issn |
1532-4125 |
|
| dc.identifier.uri |
https://doi.org/10.1080/00927872.2023.2203773 |
|
| dc.identifier.uri |
https://repository.iitgn.ac.in/handle/123456789/8778 |
|
| dc.description.abstract |
In this paper, we give a necessary and sufficient condition for the Cohen-Macaulayness of the associated graded ring of a simplicial affine semigroup using Grobner 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 discuss nice extensions for simplicial affine semigroups, a concept which is motivated by nice extensions of numerical semigroups. |
|
| dc.description.statementofresponsibility |
by Joydip Saha, Indranath Sengupta and Pranjal Srivastava |
|
| dc.format.extent |
vol. 51, no. 10. pp. 4259-4270 |
|
| dc.language.iso |
en_US |
|
| dc.publisher |
Taylor and Francis |
|
| dc.subject |
Affine semigroups |
|
| dc.subject |
Associated graded rings |
|
| dc.subject |
Betti numbers |
|
| dc.subject |
Cohen-Macaulay |
|
| dc.subject |
Grobner bases |
|
| dc.title |
On the associated graded ring of semigroup algebras |
|
| dc.type |
Journal Paper |
|
| dc.relation.journal |
Communications in Algebra |
|