a-Convergence and Complete Distributivity in MV-algebras
The a-convergence is a lattice-theoretical concept defined for l-groups by Papangelou and further studied by Ellis, Madell, Ball, etc. This paper investigates the a-convergence in MV-algebras related to its topological significance. The main theorem asserts that the a-convergence in an MV-algebra derives from a topology if and only if the MV-algebra is completely distributive.
2000 MSC: 06D35, 06F20