Tensor products of sequential effect algebras
The base-normed space of a unital group
The existence of states on every Archimedean atomic lattice effect algebra with at most five blocks
Effect algebras are very natural logical structures as carriers of probabilities and states. They were introduced for modeling of sets of propositions, properties, questions, or events with fuzziness, uncertainty or unsharpness. Nevertheless, there are effect algebras without any state, and questions about the existence (for non-modular) are still unanswered. We show that every Archimedean atomic lattice effect algebra with at most five blocks (maximal MV-subalgebras) has at least one state, which...
The exocenter and type decomposition of a generalized pseudoeffect algebra
We extend the notion of the exocenter of a generalized effect algebra (GEA) to a generalized pseudoeffect algebra (GPEA) and show that elements of the exocenter are in one-to-one correspondence with direct decompositions of the GPEA; thus the exocenter is a generalization of the center of a pseudoeffect algebra (PEA). The exocenter forms a boolean algebra and the central elements of the GPEA correspond to elements of a sublattice of the exocenter which forms a generalized boolean algebra. We extend...
The lattice structure of quantum logics
The measure extension theorem for subadditive measures in -continuous logics
Topologies in atomic quantum logics
Topologies on quantum logics induced by measures
Two-valued states on a concrete logic and the additivity problem