Trace does not preserve reflexivity
Document Type
Journal Article
Role
Author
Published In
Collectanea Mathematica
Haverford Libraries Support
APC Waiver - Springer Nature
Publication Date
5-22-2026
Abstract
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
Suggested Citation
Lindo, H., Maitra, Sarasij (Mathematics & Statistics), & Zhang, W. (2026). "Trace does not preserve reflexivity." Collectanea Mathematica. Available: https://doi.org/10.1007/s13348-026-00515-0
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