Characterization of almost Gorenstein rings in terms of the trace ideal
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866914108959358976 |
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| author | Isobe, Ryotaro Kumashiro, Shinya |
| author_facet | Isobe, Ryotaro Kumashiro, Shinya |
| contents | We provide a characterization of one-dimensional almost Gorenstein rings in terms of the trace ideal. As an application, we investigate the almost Gorenstein property of certain $\mathbb{Z}_2$-graded rings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_20170 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Characterization of almost Gorenstein rings in terms of the trace ideal Isobe, Ryotaro Kumashiro, Shinya Commutative Algebra 13A02, 13H10 We provide a characterization of one-dimensional almost Gorenstein rings in terms of the trace ideal. As an application, we investigate the almost Gorenstein property of certain $\mathbb{Z}_2$-graded rings. |
| title | Characterization of almost Gorenstein rings in terms of the trace ideal |
| topic | Commutative Algebra 13A02, 13H10 |
| url | https://arxiv.org/abs/2510.20170 |