Trace does not preserve reflexivity
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.
Authors
- Haydee Lindo (ORCID: https://orcid.org/0000-0003-2900-3793)
- Waye Zhang
- Sarasij Maitra (ORCID: https://orcid.org/0000-0002-7764-2429)
Publication Details
- Journal
- Collectanea mathematica
- Published
- 2026-05-22
- DOI
- https://doi.org/10.1007/s13348-026-00515-0
- Primary Topic
- Commutative Algebra and Its Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Science Foundation
- American Mathematical Society