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A Proof of the Dimension Theorem for Vector Spaces

Department of Mathematics and Statistics, Florida Atlantic University, 777 Glades Rd, Boca Raton, Fl, 33431 USA.
Email: sicaf@fau.edu

Annals of Communications in Mathematics 2025, 8 (2), 299-302. https://doi.org/10.62072/acm.2025.080212
Received: 20 May 2025 |
Accepted: 21 June 2025 |
Published: 30 June 2025

Abstract

We provide a proof of the theorem that, assuming Zorn’s lemma, two Hamel bases of a vector space have equal cardinality.

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Cite This Article

Francesco Sica.
A Proof of the Dimension Theorem for Vector Spaces.
Annals of Communications in Mathematics
2025,
8 (2):
299-302.
https://doi.org/10.62072/acm.2025.080212

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Copyright © 2025 by the Author(s). Licensee Techno Sky Publications. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).

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