@ARTICLE{TBA, TITLE={[FORTHCOMING] On the locally compact vector groups}, AUTHOR={Batoul Yousefipour , S. Sajjad Gashti , Hassan Myrnouri, }, JOURNAL={Advances in Pure and Applied Mathematics}, VOLUME={}, NUMBER={Forthcoming papers
}, YEAR={2025}, URL={https://www.openscience.fr/On-the-locally-compact-vector-groups}, DOI={TBA}, 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.}}