Separation axioms on topological effect algebras

Abstract

In this paper, by considering the notions of (para, semi)topological effect algebras, separation axioms on these topologies are investigated. Some conditions which under them, a (para, semi)topological effect algebra be a Ti -space (i = 1, 2, 3, 4) are found. Then compact Hausdorff (para, semi)topological algebras are studied. Finally, topological structure on quotient effect algebras are defined and separation axioms of it are investigated.