Accepted article
The Cantor-Schröder-Bernstein Theorem in some categories of modules
Diego Andrés Peralta- Héctor Pinedo
Published 2024-02-14
Keywords
- Cantor-Schröder-Bernstein theorem,
- Dedekind finite,
- orthogonal modules,
- chain conditions
How to Cite
Peralta Reyes, D. A., & Pinedo Tapia, H. E. (2024). The Cantor-Schröder-Bernstein Theorem in some categories of modules. Revista Integración, Temas De matemáticas, 42(1), 23–30. https://doi.org/10.18273/revint.v42n1-2024002
Copyright (c) 2024 Revista Integración, temas de matemáticas
This work is licensed under a Creative Commons Attribution 4.0 International License.
Abstract
The Cantor-Schröder-Bernstein theorem has been studied in several categories throughout mathematics. In this article, we prove that this theorem holds in some relevant categories of modules, such as noetherian, and artinian, and prove that some strong versions of it also hold the category of finitely generated modules over a principal ideal domain.
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References
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