@ARTICLE{À venir, TITLE={[FORTHCOMING] Sur les groupes vectoriels localement compacts}, AUTHOR={Batoul Yousefipour , S. Sajjad Gashti , Hassan Myrnouri, }, JOURNAL={Avancées en Mathématiques Pures et Appliquées}, VOLUME={}, NUMBER={Articles à paraître
}, YEAR={2025}, URL={https://www.openscience.fr/Sur-les-groupes-vectoriels-localement-compacts}, DOI={À venir}, ISSN={1869-6090}, ABSTRACT={This paper presents a necessary and sufficient condition for a topological vector group to be locally compact. We also introduce several sufficient conditions that ensure the local compactness of topological vector groups. Furthermore, we establish a sufficient condition for a topological vector group to be first countable.}}