METRIZABILITY ON TOPOLOGICAL SIMPLE ROUGH GROUPS

Authors

  • P. TAMILARASI
  • R. SELVI

Keywords:

Simple rough group, Topological simple rough group, Rough pseudonorm, Rough pseudometric, Metrizable, Symmetric neighbourhoods

Abstract

In this paper, we focus on the concepts of rough pseudonorm and metrizability in topological simple rough groups. Further, we discuss some results related to these concepts. In particular, we explore the interplay between rough pseudonorms and metrizability, and also highlighting the necessary and sufficient condition to ensure a topological simple rough group is metrizable. These findings contribute to a deeper understanding of the structural dynamics of topological simple rough groups.

Downloads

Published

2025-06-26

How to Cite

P. TAMILARASI, & R. SELVI. (2025). METRIZABILITY ON TOPOLOGICAL SIMPLE ROUGH GROUPS. Utilitas Mathematica, 122(1), 1413–1425. Retrieved from http://utilitasmathematica.com/index.php/Index/article/view/2367

Citation Check

Most read articles by the same author(s)

Obs.: This plugin requires at least one statistics/report plugin to be enabled. If your statistics plugins provide more than one metric then please also select a main metric on the admin's site settings page and/or on the journal manager's settings pages.