Trace does not preserve reflexivity
Abstract
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.
Fields of Study & Subjects
Commutative Algebra and Its Applications
Rings
Modules
and Algebras
Homotopy and Cohomology in Algebraic Topology
Publication details
- Journal / source
- Collectanea mathematica
- Publication date
- 22 May 2026
- Language
- EN