Luan, C. & Yang, Y. Soft Comput (2017) 21: 2531. doi:10.1007/s00500-017-2574-y
We show that every MV-algebra A can be naturally equipped with a filter topology such that A is a topological MV-algebra, which improves the main results on C-topological lattice-ordered groups in both Yang (Sci China Ser A 52(11):2397–2403, 2009) and Gusić (Proc Am Math Soc 126(9):2593–2597, 1998). Furthermore, for a 2-divisible MV-algebra A, we show that the filter topological space is Hausdorff if and only if A is semisimple.
MV-algebra Filter topology Hausdorff space Semisimple Dense