Abstract

We show that every effect algebra satisfying the Riesz decomposition property can be represented as an effect algebra of automorphisms of an antilattice, and every MV-algebra can be represented as an MV-algebra of automorphisms of a linearly ordered set. Such a representation enables us to visualize effect algebras by functions. This is a variation of the Holland representation theorem for l-groups and of its generalization of Glass for directed interpolation po-groups as l-groups or po-groups automorphisms of linearly ordered set or of an antilattice, respectively.

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