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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.12576 |
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| _version_ | 1866912588894306304 |
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| author | Lindo, Haydee Maitra, Sarasij Zhang, William |
| author_facet | Lindo, Haydee Maitra, Sarasij Zhang, William |
| contents | In this note, we address a question raised in a recent work by Dao-Maitra-Sridhar, regarding the preservation of reflexivity under taking trace. We answer this question negatively. We also study a few cases where the question has a positive answer in a one dimensional, analytically unramified Cohen-Macaulay local ring. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_12576 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Trace does not preserve Reflexivity Lindo, Haydee Maitra, Sarasij Zhang, William Commutative Algebra In this note, we address a question raised in a recent work by Dao-Maitra-Sridhar, regarding the preservation of reflexivity under taking trace. We answer this question negatively. We also study a few cases where the question has a positive answer in a one dimensional, analytically unramified Cohen-Macaulay local ring. |
| title | Trace does not preserve Reflexivity |
| topic | Commutative Algebra |
| url | https://arxiv.org/abs/2509.12576 |