Abstract
We study various types of weakly Jauch–Piron states and various types of state-space properties in effect algebras. We generalize several results of Tkadlec (Tatra Mt. Math. Publ. 10, 55–62 1997; Algebra Universalis 61, 187–194 2009) and of Matousek and Ptak (Internat. J. Theoret. Phys. 54, 4476–4481 2015). In particular, we show when an effect algebra is an orthomodular poset, when a unital set of states is strongly order determining, and we present some state space characterizations of Boolean algebras.
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