In this paper, we introduce the notion of (semi)topological BCC-algebras and derive here conditions that imply a BCC-algebra to be a (semi)topological BCC-algebra. We prove that for each cardinal number α there is at least a (semi)topological BCC-algebra of order α: Also we study separation axioms on (semi)topological BCC-algebras and show that for any infinite cardinal number α there is a Hausdorff (semi)topological BCC-algebra of order α with nontrivial topology.
Setudeh, F. R. and Kouhestani, N.
On (Semi)Topological BCC-algebras,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 12,
1, Article 10.
Available at: https://digitalcommons.pvamu.edu/aam/vol12/iss1/10