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arXiv · 2509.12576

Trace does not preserve Reflexivity

Haydee Lindo·Sarasij Maitra·William Zhang
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Abstract

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.

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Haydee Lindo, Sarasij Maitra, William Zhang. 2025-09-16. Trace does not preserve Reflexivity. https://arxiv.org/abs/2509.12576

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