Trace does not preserve Reflexivity
Commutative Algebra
2025-09-17 v1
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.
Cite
@article{arxiv.2509.12576,
title = {Trace does not preserve Reflexivity},
author = {Haydee Lindo and Sarasij Maitra and William Zhang},
journal= {arXiv preprint arXiv:2509.12576},
year = {2025}
}
Comments
Written as part of an REU funded by the department of Mathematics at the University of Utah in Spring 2025. Comments are welcome!