Boolean orthoposets---concreteness and orthocompleteness
Classes équationnelles de treillis orthomodulaires liées aux états
Classical particle limit of non-relativistic quantum mechanics
Compatibility and partial compatibility in quantum logics
Compatibility in orthomodular posets
Compatibility problem in quasi-orthocomplemented posets
Compressible groups
Compressible groups with general comparability
Concrete quantum logics with generalised compatibility
We present three results stating when a concrete (=set-representable) quantum logic with covering properties (generalization of compatibility) has to be a Boolean algebra. These results complete and generalize some previous results [3, 5] and answer partiallz a question posed in [2].
Conditional probability in quantum axiomatics
Congruences and ideals in lattice effect algebras as basic algebras
Effect basic algebras (which correspond to lattice ordered effect algebras) are studied. Their ideals are characterized (in the language of basic algebras) and one-to-one correspondence between ideals and congruences is shown. Conditions under which the quotients are OMLs or MV-algebras are found.
Consistent histories: Description of a world with increasing entropy.
Continuity and linear extensions of quantum measures on Jordan operator algebras.
-posets
Direct product decompositions of pseudo effect algebras
Discourse on one way in which a quantum-mechanics language on the classical logical base can be built up
Divisible effect algebras and interval effect algebras
It is shown that divisible effect algebras are in one-to-one correspondence with unit intervals in partially ordered rational vector spaces.
Effect algebra counterexamples
Effect algebras and ring-like structures
The dichotomic physical quantities, also called propositions, can be naturally associated to maps of the set of states into the real interval [0,1]. We show that the structure of effect algebra associated to such maps can be represented by quasiring structures, which are a generalization of Boolean rings, in such a way that the ring operation of addition can be non-associative and the ring multiplication non-distributive with respect to addition. By some natural assumption on the effect algebra,...
Ein Beitrag zur Theorie der Orthogonalität auf Mengen