Frink ideal topology of lattice effect algebras

A difficult question arising in the study of effect algebras is how to equip them with a fitting and proper topology such that the topology is compatible with the partial operations circle plus and circle minus. As we know, the Frink ideal topology is an important intrinsic topology for studying partially ordered set theory; in particular, it is the correct topology for chains and direct products of a finite number of chains. In this paper, we show that the Frink ideal topology is also a nice topology for studying effect-algebra theory since it provides the operations with some of the expected continuity properties.