Trace does not preserve reflexivity

doi:10.1007/s13348-026-00515-0

Trace does not preserve reflexivity

2026-05-01

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DOI：10.1007/s13348-026-00515-0

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In this article, we address a question raised in Dao et al. (Trans Am Math Soc Ser B 10:355-380, 2023) 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 local Cohen-Macaulay ring.

Keywords:

Reflexive

Trace ideal

Partial trace ideal

13Gxx

Trace does not preserve reflexivity

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