On Partial Trace Ideals
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866908878929657856 |
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| author | Dey, Souvik Kumashiro, Shinya |
| author_facet | Dey, Souvik Kumashiro, Shinya |
| contents | We investigate the notion of partial trace ideals, recently introduced by Maitra. We first establish several properties of partial trace ideals and give affirmative answers to questions posed by Maitra. We then study the invariant defined by the partial trace ideal of the canonical module, and obtain an upper bound that recovers one direction of a result of Kobayashi. Moreover, in the case of numerical semigroup rings generated by three elements, we provide an explicit formula for this invariant. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_10464 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On Partial Trace Ideals Dey, Souvik Kumashiro, Shinya Commutative Algebra 13B22, 13B30, 13H10 We investigate the notion of partial trace ideals, recently introduced by Maitra. We first establish several properties of partial trace ideals and give affirmative answers to questions posed by Maitra. We then study the invariant defined by the partial trace ideal of the canonical module, and obtain an upper bound that recovers one direction of a result of Kobayashi. Moreover, in the case of numerical semigroup rings generated by three elements, we provide an explicit formula for this invariant. |
| title | On Partial Trace Ideals |
| topic | Commutative Algebra 13B22, 13B30, 13H10 |
| url | https://arxiv.org/abs/2603.10464 |