On a question of Auslander and Bridger on 2-reflexive modules
Rene Marczinzik
TL;DR
This paper addresses a question in module theory by demonstrating that not all 2-reflexive modules are necessarily reflexive, clarifying a specific aspect of module reflexivity.
Contribution
It provides a counterexample showing that 2-reflexive modules do not always imply reflexivity, resolving a question posed by Auslander and Bridger.
Findings
Not all 2-reflexive modules are reflexive
Counterexample to the assumption that 2-reflexivity implies reflexivity
Clarification of the relationship between 2-reflexivity and reflexivity
Abstract
We answer a question raised by Auslander and Bridger by showing that not every 2-reflexive module is reflexive.
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Taxonomy
TopicsRings, Modules, and Algebras · Homotopy and Cohomology in Algebraic Topology · Holomorphic and Operator Theory