Almost Gorenstein simplicial semigroup rings
Fuente:
arXiv
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866913383681359872 |
|---|---|
| author | Eto, Kazufumi Matsuoka, Naoyuki Numata, Takahiro Watanabe, Kei-ichi |
| author_facet | Eto, Kazufumi Matsuoka, Naoyuki Numata, Takahiro Watanabe, Kei-ichi |
| contents | We give a criterion for almost Gorenstein property for semigroup rings associated with simplicial semigroups. We extend Nari's theorem for almost symmetric numerical semigroups to simplicial semigroups with higher rank. By this criterion, we determine $2$-dimensional normal semigroup rings which have ``Ulrich elements'' defined in [Herzog-Jafari-Stamate]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_05781 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Almost Gorenstein simplicial semigroup rings Eto, Kazufumi Matsuoka, Naoyuki Numata, Takahiro Watanabe, Kei-ichi Commutative Algebra Primary 13F65, Secondary 13C14, 13A02, 20M25 We give a criterion for almost Gorenstein property for semigroup rings associated with simplicial semigroups. We extend Nari's theorem for almost symmetric numerical semigroups to simplicial semigroups with higher rank. By this criterion, we determine $2$-dimensional normal semigroup rings which have ``Ulrich elements'' defined in [Herzog-Jafari-Stamate]. |
| title | Almost Gorenstein simplicial semigroup rings |
| topic | Commutative Algebra Primary 13F65, Secondary 13C14, 13A02, 20M25 |
| url | https://arxiv.org/abs/2406.05781 |