Abstract
In this paper, separation axioms of topological rough groups are discussed. Two examples are constructed to show that there exist Hausdorff topological rough groups such that they have no regular separation. This answers an open question posed in (Lin et al. in Soft Comput 25: 3441-3453, 2020). We also consider regularity of a strongly topological rough group.
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Supported by Natural Science Foundation of Hebei Province (A2018501040, A2019210318) and Beijing Natural Science Foundation (No. 1212001).
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The authors discussed and wrote the paper together. The first three authors contributed equally to the original work and the fourth author contributed to the revision.
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Li, PY., Liu, WL., Mou, L. et al. On separation axioms of topological rough groups. Soft Comput 27, 57–61 (2023). https://doi.org/10.1007/s00500-022-07521-x
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DOI: https://doi.org/10.1007/s00500-022-07521-x