37 citations · 130 across the 21 of their papers we have counts for
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States and synaptic algebras
David J. Foulis, Anna Jencova, Sylvia Pulmannova
Different versions of the notion of a state have been formulated for various so-called quantum structures. In this paper, we investigate the interplay among states on synaptic alge…
Symmetries in Synaptic Algebras
David J. Foulis, Sylvia Pulmannova
A synaptic algebra is a generalization of the Jordan algebra of selfadjoint elements of a von Neumann algebra. We study symmetries in synaptic algebras, i.e., elements whose square…
The exocenter and type decomposition of a generalized pseudoeffect algebra
David J. Foulis, Sylvia Pulmannova, Elena Vincekova
We extend to a generalized pseudoeffect algebra (GPEA) the notion of the exocenter of a generalized effect algebra (GEA) and show that elements of the exocenter are in one-to-one c…
Dimension theory for generalized effect algebras
David J. Foulis, Sylvia Pulmannova
In this paper we define and study dimension generalized effect algebras (DGEAs), i.e., Dedekind orthocomplete and centrally orthocomplete generalized effect algebras equipped with…
Representation of State Property Systems
Diederik Aerts, Sylvia Pulmannova
A 'state property system' is the mathematical structure which models an arbitrary physical system by means of its set of states, its set of properties, and a relation of 'actuality…
Sharp and fuzzy observables on effect algebras
A. Jencova, S. Pulmannova, E. Vincekova
Observables on effect algebras and their fuzzy versions obtained by means of confidence measures (Markov kernels) are studied. It is shown that, on effect algebras with the (E)-pro…