On primal topological groups

Document Type : Research Paper

Authors

1 Department of Mathematics, PSR Arts and Science College, Sivakasi, Tamilnadu

2 Centre for Research and Post Graduate Studies in Mathematics, Ayya Nadar Janaki Ammal College, Sivakasi, Tamilnadu

3 Department of Mathematics, College of Vestsjaelland South, 4200 Slagelse, Denmark

Abstract

In this paper, we introduce the notion of primal topological group, which is a generalization of topological group by a primal. We discuss the characterizations of primal topological groups with illustrative examples.

Keywords

References

[1] A. Al-Omari, S. Acharjee and M.Ozkoc, A new operator of primal topological spaces, Mathematica, (2) 65 (2023), 175–183.
[2] E. Bohn and J. Lee, Semi-topological groups, American Mathematical Society, 72 (1965), 996–998.
[3] M. S. Bosan, M. D. Khan and L. D. R. Kocinac, On S-topological group, Mathematica Moravica, (2) 18 (2014), 35–44.
[4] P. Gnanachandra, S. Jafari and N. Rajesh, β Ideal topological groups, Caspian Journal of Mathematical Sciences, (2) 11 (2022), 518–525.
[5] K. Kuratowski, Topology, Academic Press, New York, 1966.
[6] M. Ram, On almost topological groups, Mathematica Moravica, (1) 23 (2019), 97–106.
Journal of Algebra and Related Topics
Volume 13, Issue 1
July 2025
Pages 109-116

Files

Share

How to cite

Statistics