Triple Representation Theorem for Homogeneous Effect Algebras

The aim of our paper is to prove the Triple Representation Theorem, which was established by Jenca in the setting of complete lattice effect algebras, for a special class of homogeneous effect algebras, namely TRT-effect algebras. This class includes complete lattice effect algebras, sharply dominating Archimedean atomic lattice effect algebras and homogeneous ortho complete effect algebras.