@ARTICLE{10.21494/ISTE.OP.2026.1468, 

TITLE={On the locally compact vector groups}, 
  
AUTHOR={Batoul Yousefipour
, S. Sajjad Gashti
, Hassan Myrnouri, }, 
	
JOURNAL={Advances in Pure and Applied Mathematics}, 
	
VOLUME={17}, 

NUMBER={Issue 3 (June 2026)}, 
	
YEAR={2026}, 

URL={https://openscience.fr/On-the-locally-compact-vector-groups}, 
	
DOI={10.21494/ISTE.OP.2026.1468}, 
	
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.}}