Characterizations of Posets via Weak States

@inproceedings{Lnger2008CharacterizationsOP,
  title={Characterizations of Posets via Weak States},
  author={Helmut L{\"a}nger},
  year={2008}
}
Weak states on posets are defined which are in some analogy to states on orthomodular posets used in axiomatic quantum mechanics. It is shown how certain properties of the set of weak states characterize certain properties of the underlying poset. Orthomodular posets serve as algebraic models for logics in axiomatic quantum mechanics. States on them are… CONTINUE READING