Semiobservables on quantum logics
Some distributivities in GBbi-QRs characterizing Boolean rings
This paper presents some manner of characterization of Boolean rings. These algebraic systems one can also characterize by means of some distributivities satisfied in GBbi-QRs.
Spaces of observables
Spectral resolutions for -complete lattice effect algebras
State space properties of finite logics
States on pseudo-effect algebras with general comparability
Superpositions of states and a representation theorem
Symmetric difference in orthomodular lattices
Symmetric difference on orthomodular lattices and -valued states
The investigation of orthocomplemented lattices with a symmetric difference initiated the following question: Which orthomodular lattice can be embedded in an orthomodular lattice that allows for a symmetric difference? In this paper we present a necessary condition for such an embedding to exist. The condition is expressed in terms of -valued states and enables one, as a consequence, to clarify the situation in the important case of the lattice of projections in a Hilbert space.