  The aim of our paper is to prove the Triple Representation Theorem, which was
established by Jen\v{c}a 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 orthocomplete effect
algebras.
